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Finding the Fourth Proportional to 502.47, 754.03 and 213.91

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Solution

The fourth proportional to 502.47, 754.03 and 213.91 is: 320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.47 : 754.03 = 213.91 : x
  2. Step 2: Convert to fraction form
    502.47/754.03 = 213.91/x
  3. Step 3: Cross multiply
    502.47x = 754.03 × 213.91
  4. Step 4: Simplify right side
    502.47x = 161,289.72
  5. Step 5: Solve for x
    x = 161,289.72/502.47
  6. Step 6: Final answer
    x = 320.99

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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.