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Finding the Fourth Proportional to 658.87, 909.23 and 462.04

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Solution

The fourth proportional to 658.87, 909.23 and 462.04 is: 637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.87 : 909.23 = 462.04 : x
  2. Step 2: Convert to fraction form
    658.87/909.23 = 462.04/x
  3. Step 3: Cross multiply
    658.87x = 909.23 × 462.04
  4. Step 4: Simplify right side
    658.87x = 420,096.05
  5. Step 5: Solve for x
    x = 420,096.05/658.87
  6. Step 6: Final answer
    x = 637.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.