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Finding the Fourth Proportional to 555.89, 832.57 and 458.15

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Solution

The fourth proportional to 555.89, 832.57 and 458.15 is: 686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.89 : 832.57 = 458.15 : x
  2. Step 2: Convert to fraction form
    555.89/832.57 = 458.15/x
  3. Step 3: Cross multiply
    555.89x = 832.57 × 458.15
  4. Step 4: Simplify right side
    555.89x = 381,445.17
  5. Step 5: Solve for x
    x = 381,445.17/555.89
  6. Step 6: Final answer
    x = 686.19

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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.