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Finding the Fourth Proportional to 658.24, 908.42 and 409.74

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Solution

The fourth proportional to 658.24, 908.42 and 409.74 is: 565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.24 : 908.42 = 409.74 : x
  2. Step 2: Convert to fraction form
    658.24/908.42 = 409.74/x
  3. Step 3: Cross multiply
    658.24x = 908.42 × 409.74
  4. Step 4: Simplify right side
    658.24x = 372,216.01
  5. Step 5: Solve for x
    x = 372,216.01/658.24
  6. Step 6: Final answer
    x = 565.47

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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.