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Finding the Fourth Proportional to 658.39, 907.33 and 471.55

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Solution

The fourth proportional to 658.39, 907.33 and 471.55 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.39 : 907.33 = 471.55 : x
  2. Step 2: Convert to fraction form
    658.39/907.33 = 471.55/x
  3. Step 3: Cross multiply
    658.39x = 907.33 × 471.55
  4. Step 4: Simplify right side
    658.39x = 427,851.46
  5. Step 5: Solve for x
    x = 427,851.46/658.39
  6. Step 6: Final answer
    x = 649.85

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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.