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Finding the Fourth Proportional to 475.72, 713.64 and 232.04

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Solution

The fourth proportional to 475.72, 713.64 and 232.04 is: 348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 713.64 = 232.04 : x
  2. Step 2: Convert to fraction form
    475.72/713.64 = 232.04/x
  3. Step 3: Cross multiply
    475.72x = 713.64 × 232.04
  4. Step 4: Simplify right side
    475.72x = 165,593.03
  5. Step 5: Solve for x
    x = 165,593.03/475.72
  6. Step 6: Final answer
    x = 348.09

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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.