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Finding the Fourth Proportional to 658.62, 908.38 and 409.75

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Solution

The fourth proportional to 658.62, 908.38 and 409.75 is: 565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.62 : 908.38 = 409.75 : x
  2. Step 2: Convert to fraction form
    658.62/908.38 = 409.75/x
  3. Step 3: Cross multiply
    658.62x = 908.38 × 409.75
  4. Step 4: Simplify right side
    658.62x = 372,208.71
  5. Step 5: Solve for x
    x = 372,208.71/658.62
  6. Step 6: Final answer
    x = 565.13

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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.