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Finding the Fourth Proportional to 458.17, 686.56 and 275.36

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Solution

The fourth proportional to 458.17, 686.56 and 275.36 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.17 : 686.56 = 275.36 : x
  2. Step 2: Convert to fraction form
    458.17/686.56 = 275.36/x
  3. Step 3: Cross multiply
    458.17x = 686.56 × 275.36
  4. Step 4: Simplify right side
    458.17x = 189,051.16
  5. Step 5: Solve for x
    x = 189,051.16/458.17
  6. Step 6: Final answer
    x = 412.62

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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.