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Finding the Fourth Proportional to 613.09, 919.65 and 223.15

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Solution

The fourth proportional to 613.09, 919.65 and 223.15 is: 334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.09 : 919.65 = 223.15 : x
  2. Step 2: Convert to fraction form
    613.09/919.65 = 223.15/x
  3. Step 3: Cross multiply
    613.09x = 919.65 × 223.15
  4. Step 4: Simplify right side
    613.09x = 205,219.90
  5. Step 5: Solve for x
    x = 205,219.90/613.09
  6. Step 6: Final answer
    x = 334.73

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Half scale
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Double scale
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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.