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Finding the Fourth Proportional to 588.16, 882.04 and 223.05

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Solution

The fourth proportional to 588.16, 882.04 and 223.05 is: 334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 882.04 = 223.05 : x
  2. Step 2: Convert to fraction form
    588.16/882.04 = 223.05/x
  3. Step 3: Cross multiply
    588.16x = 882.04 × 223.05
  4. Step 4: Simplify right side
    588.16x = 196,742.19
  5. Step 5: Solve for x
    x = 196,742.19/588.16
  6. Step 6: Final answer
    x = 334.50

Related Problems

Find fourth proportional to 294.08, 441.02 and 111.53
Half scale
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Double scale
Find fourth proportional to 589.16, 883.54 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.