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Finding the Fourth Proportional to 658.26, 908.42 and 359.53

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Solution

The fourth proportional to 658.26, 908.42 and 359.53 is: 496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.26 : 908.42 = 359.53 : x
  2. Step 2: Convert to fraction form
    658.26/908.42 = 359.53/x
  3. Step 3: Cross multiply
    658.26x = 908.42 × 359.53
  4. Step 4: Simplify right side
    658.26x = 326,600.17
  5. Step 5: Solve for x
    x = 326,600.17/658.26
  6. Step 6: Final answer
    x = 496.16

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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.