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Finding the Fourth Proportional to 458.73, 688.16 and 297.13

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Solution

The fourth proportional to 458.73, 688.16 and 297.13 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.73 : 688.16 = 297.13 : x
  2. Step 2: Convert to fraction form
    458.73/688.16 = 297.13/x
  3. Step 3: Cross multiply
    458.73x = 688.16 × 297.13
  4. Step 4: Simplify right side
    458.73x = 204,472.98
  5. Step 5: Solve for x
    x = 204,472.98/458.73
  6. Step 6: Final answer
    x = 445.74

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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.