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Finding the Fourth Proportional to 458.38, 686.53 and 275.42

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Solution

The fourth proportional to 458.38, 686.53 and 275.42 is: 412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.38 : 686.53 = 275.42 : x
  2. Step 2: Convert to fraction form
    458.38/686.53 = 275.42/x
  3. Step 3: Cross multiply
    458.38x = 686.53 × 275.42
  4. Step 4: Simplify right side
    458.38x = 189,080.74
  5. Step 5: Solve for x
    x = 189,080.74/458.38
  6. Step 6: Final answer
    x = 412.50

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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.