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Finding the Fourth Proportional to 658.26, 908.82 and 462.24

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Solution

The fourth proportional to 658.26, 908.82 and 462.24 is: 638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.26 : 908.82 = 462.24 : x
  2. Step 2: Convert to fraction form
    658.26/908.82 = 462.24/x
  3. Step 3: Cross multiply
    658.26x = 908.82 × 462.24
  4. Step 4: Simplify right side
    658.26x = 420,092.96
  5. Step 5: Solve for x
    x = 420,092.96/658.26
  6. Step 6: Final answer
    x = 638.19

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1.5x scale

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.