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Finding the Fourth Proportional to 658.69, 907.74 and 471.86

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Solution

The fourth proportional to 658.69, 907.74 and 471.86 is: 650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.69 : 907.74 = 471.86 : x
  2. Step 2: Convert to fraction form
    658.69/907.74 = 471.86/x
  3. Step 3: Cross multiply
    658.69x = 907.74 × 471.86
  4. Step 4: Simplify right side
    658.69x = 428,327.05
  5. Step 5: Solve for x
    x = 428,327.05/658.69
  6. Step 6: Final answer
    x = 650.27

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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.