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Finding the Fourth Proportional to 458.23, 686.65 and 272.76

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Solution

The fourth proportional to 458.23, 686.65 and 272.76 is: 408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 686.65 = 272.76 : x
  2. Step 2: Convert to fraction form
    458.23/686.65 = 272.76/x
  3. Step 3: Cross multiply
    458.23x = 686.65 × 272.76
  4. Step 4: Simplify right side
    458.23x = 187,290.65
  5. Step 5: Solve for x
    x = 187,290.65/458.23
  6. Step 6: Final answer
    x = 408.73

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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.