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Finding the Fourth Proportional to 502.52, 749.74 and 450.68

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Solution

The fourth proportional to 502.52, 749.74 and 450.68 is: 672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.52 : 749.74 = 450.68 : x
  2. Step 2: Convert to fraction form
    502.52/749.74 = 450.68/x
  3. Step 3: Cross multiply
    502.52x = 749.74 × 450.68
  4. Step 4: Simplify right side
    502.52x = 337,892.82
  5. Step 5: Solve for x
    x = 337,892.82/502.52
  6. Step 6: Final answer
    x = 672.40

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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.