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Finding the Fourth Proportional to 461.50, 687.30 and 458.87

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Solution

The fourth proportional to 461.50, 687.30 and 458.87 is: 683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.50 : 687.30 = 458.87 : x
  2. Step 2: Convert to fraction form
    461.50/687.30 = 458.87/x
  3. Step 3: Cross multiply
    461.50x = 687.30 × 458.87
  4. Step 4: Simplify right side
    461.50x = 315,375.62
  5. Step 5: Solve for x
    x = 315,375.62/461.50
  6. Step 6: Final answer
    x = 683.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.