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Finding the Fourth Proportional to 502.40, 753.55 and 209.79

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Solution

The fourth proportional to 502.40, 753.55 and 209.79 is: 314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.40 : 753.55 = 209.79 : x
  2. Step 2: Convert to fraction form
    502.40/753.55 = 209.79/x
  3. Step 3: Cross multiply
    502.40x = 753.55 × 209.79
  4. Step 4: Simplify right side
    502.40x = 158,087.91
  5. Step 5: Solve for x
    x = 158,087.91/502.40
  6. Step 6: Final answer
    x = 314.66

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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.