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Finding the Fourth Proportional to 458.30, 687.24 and 165.78

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Solution

The fourth proportional to 458.30, 687.24 and 165.78 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.30 : 687.24 = 165.78 : x
  2. Step 2: Convert to fraction form
    458.30/687.24 = 165.78/x
  3. Step 3: Cross multiply
    458.30x = 687.24 × 165.78
  4. Step 4: Simplify right side
    458.30x = 113,930.65
  5. Step 5: Solve for x
    x = 113,930.65/458.30
  6. Step 6: Final answer
    x = 248.59

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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.