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Finding the Fourth Proportional to 658.62, 907.94 and 409.82

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Solution

The fourth proportional to 658.62, 907.94 and 409.82 is: 564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.62 : 907.94 = 409.82 : x
  2. Step 2: Convert to fraction form
    658.62/907.94 = 409.82/x
  3. Step 3: Cross multiply
    658.62x = 907.94 × 409.82
  4. Step 4: Simplify right side
    658.62x = 372,085.38
  5. Step 5: Solve for x
    x = 372,085.38/658.62
  6. Step 6: Final answer
    x = 564.95

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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.