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Finding the Fourth Proportional to 502.04, 753.28 and 209.73

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Solution

The fourth proportional to 502.04, 753.28 and 209.73 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.04 : 753.28 = 209.73 : x
  2. Step 2: Convert to fraction form
    502.04/753.28 = 209.73/x
  3. Step 3: Cross multiply
    502.04x = 753.28 × 209.73
  4. Step 4: Simplify right side
    502.04x = 157,985.41
  5. Step 5: Solve for x
    x = 157,985.41/502.04
  6. Step 6: Final answer
    x = 314.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.