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Finding the Fourth Proportional to 502.04, 753.12 and 213.56

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Solution

The fourth proportional to 502.04, 753.12 and 213.56 is: 320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.04 : 753.12 = 213.56 : x
  2. Step 2: Convert to fraction form
    502.04/753.12 = 213.56/x
  3. Step 3: Cross multiply
    502.04x = 753.12 × 213.56
  4. Step 4: Simplify right side
    502.04x = 160,836.31
  5. Step 5: Solve for x
    x = 160,836.31/502.04
  6. Step 6: Final answer
    x = 320.37

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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.