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Finding the Fourth Proportional to 658.52, 907.98 and 471.80

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Solution

The fourth proportional to 658.52, 907.98 and 471.80 is: 650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.52 : 907.98 = 471.80 : x
  2. Step 2: Convert to fraction form
    658.52/907.98 = 471.80/x
  3. Step 3: Cross multiply
    658.52x = 907.98 × 471.80
  4. Step 4: Simplify right side
    658.52x = 428,384.96
  5. Step 5: Solve for x
    x = 428,384.96/658.52
  6. Step 6: Final answer
    x = 650.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.