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Finding the Fourth Proportional to 658.16, 907.62 and 437.12

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Solution

The fourth proportional to 658.16, 907.62 and 437.12 is: 602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 907.62 = 437.12 : x
  2. Step 2: Convert to fraction form
    658.16/907.62 = 437.12/x
  3. Step 3: Cross multiply
    658.16x = 907.62 × 437.12
  4. Step 4: Simplify right side
    658.16x = 396,738.85
  5. Step 5: Solve for x
    x = 396,738.85/658.16
  6. Step 6: Final answer
    x = 602.80

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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.