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Finding the Fourth Proportional to 658.23, 907.20 and 461.40

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Solution

The fourth proportional to 658.23, 907.20 and 461.40 is: 635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.23 : 907.20 = 461.40 : x
  2. Step 2: Convert to fraction form
    658.23/907.20 = 461.40/x
  3. Step 3: Cross multiply
    658.23x = 907.20 × 461.40
  4. Step 4: Simplify right side
    658.23x = 418,582.08
  5. Step 5: Solve for x
    x = 418,582.08/658.23
  6. Step 6: Final answer
    x = 635.92

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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.