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Finding the Fourth Proportional to 474.34, 711.07 and 242.72

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Solution

The fourth proportional to 474.34, 711.07 and 242.72 is: 363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.34 : 711.07 = 242.72 : x
  2. Step 2: Convert to fraction form
    474.34/711.07 = 242.72/x
  3. Step 3: Cross multiply
    474.34x = 711.07 × 242.72
  4. Step 4: Simplify right side
    474.34x = 172,593.12
  5. Step 5: Solve for x
    x = 172,593.12/474.34
  6. Step 6: Final answer
    x = 363.86

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