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Finding the Fourth Proportional to 502.47, 754.52 and 311.31

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Solution

The fourth proportional to 502.47, 754.52 and 311.31 is: 467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.47 : 754.52 = 311.31 : x
  2. Step 2: Convert to fraction form
    502.47/754.52 = 311.31/x
  3. Step 3: Cross multiply
    502.47x = 754.52 × 311.31
  4. Step 4: Simplify right side
    502.47x = 234,888.06
  5. Step 5: Solve for x
    x = 234,888.06/502.47
  6. Step 6: Final answer
    x = 467.47

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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.