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Finding the Fourth Proportional to 658.71, 907.31 and 459.18

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Solution

The fourth proportional to 658.71, 907.31 and 459.18 is: 632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.71 : 907.31 = 459.18 : x
  2. Step 2: Convert to fraction form
    658.71/907.31 = 459.18/x
  3. Step 3: Cross multiply
    658.71x = 907.31 × 459.18
  4. Step 4: Simplify right side
    658.71x = 416,618.78
  5. Step 5: Solve for x
    x = 416,618.78/658.71
  6. Step 6: Final answer
    x = 632.48

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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.