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Finding the Fourth Proportional to 502.24, 749.45 and 447.76

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Solution

The fourth proportional to 502.24, 749.45 and 447.76 is: 668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.24 : 749.45 = 447.76 : x
  2. Step 2: Convert to fraction form
    502.24/749.45 = 447.76/x
  3. Step 3: Cross multiply
    502.24x = 749.45 × 447.76
  4. Step 4: Simplify right side
    502.24x = 335,573.73
  5. Step 5: Solve for x
    x = 335,573.73/502.24
  6. Step 6: Final answer
    x = 668.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.