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Finding the Fourth Proportional to 458.24, 686.16 and 314.24

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Solution

The fourth proportional to 458.24, 686.16 and 314.24 is: 470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.24 : 686.16 = 314.24 : x
  2. Step 2: Convert to fraction form
    458.24/686.16 = 314.24/x
  3. Step 3: Cross multiply
    458.24x = 686.16 × 314.24
  4. Step 4: Simplify right side
    458.24x = 215,618.92
  5. Step 5: Solve for x
    x = 215,618.92/458.24
  6. Step 6: Final answer
    x = 470.54

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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.