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Finding the Fourth Proportional to 658.08, 907.74 and 461.52

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Solution

The fourth proportional to 658.08, 907.74 and 461.52 is: 636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.08 : 907.74 = 461.52 : x
  2. Step 2: Convert to fraction form
    658.08/907.74 = 461.52/x
  3. Step 3: Cross multiply
    658.08x = 907.74 × 461.52
  4. Step 4: Simplify right side
    658.08x = 418,940.16
  5. Step 5: Solve for x
    x = 418,940.16/658.08
  6. Step 6: Final answer
    x = 636.61

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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.