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Finding the Fourth Proportional to 658.72, 908.67 and 459.23

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Solution

The fourth proportional to 658.72, 908.67 and 459.23 is: 633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.72 : 908.67 = 459.23 : x
  2. Step 2: Convert to fraction form
    658.72/908.67 = 459.23/x
  3. Step 3: Cross multiply
    658.72x = 908.67 × 459.23
  4. Step 4: Simplify right side
    658.72x = 417,288.52
  5. Step 5: Solve for x
    x = 417,288.52/658.72
  6. Step 6: Final answer
    x = 633.48

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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.