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Finding the Fourth Proportional to 502.44, 753.71 and 209.88

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Solution

The fourth proportional to 502.44, 753.71 and 209.88 is: 314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.44 : 753.71 = 209.88 : x
  2. Step 2: Convert to fraction form
    502.44/753.71 = 209.88/x
  3. Step 3: Cross multiply
    502.44x = 753.71 × 209.88
  4. Step 4: Simplify right side
    502.44x = 158,188.65
  5. Step 5: Solve for x
    x = 158,188.65/502.44
  6. Step 6: Final answer
    x = 314.84

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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.