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Finding the Fourth Proportional to 356.28, 532.16 and 315.96

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Solution

The fourth proportional to 356.28, 532.16 and 315.96 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.28 : 532.16 = 315.96 : x
  2. Step 2: Convert to fraction form
    356.28/532.16 = 315.96/x
  3. Step 3: Cross multiply
    356.28x = 532.16 × 315.96
  4. Step 4: Simplify right side
    356.28x = 168,141.27
  5. Step 5: Solve for x
    x = 168,141.27/356.28
  6. Step 6: Final answer
    x = 471.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.