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Finding the Fourth Proportional to 613.09, 919.44 and 223.05

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Solution

The fourth proportional to 613.09, 919.44 and 223.05 is: 334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.09 : 919.44 = 223.05 : x
  2. Step 2: Convert to fraction form
    613.09/919.44 = 223.05/x
  3. Step 3: Cross multiply
    613.09x = 919.44 × 223.05
  4. Step 4: Simplify right side
    613.09x = 205,081.09
  5. Step 5: Solve for x
    x = 205,081.09/613.09
  6. Step 6: Final answer
    x = 334.50

Related Problems

Find fourth proportional to 306.55, 459.72 and 111.53
Half scale
Find fourth proportional to 1,226.18, 1,838.88 and 446.10
Double scale
Find fourth proportional to 614.09, 920.94 and 224.05
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.