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Finding the Fourth Proportional to 658.39, 907.98 and 409.63

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Solution

The fourth proportional to 658.39, 907.98 and 409.63 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.39 : 907.98 = 409.63 : x
  2. Step 2: Convert to fraction form
    658.39/907.98 = 409.63/x
  3. Step 3: Cross multiply
    658.39x = 907.98 × 409.63
  4. Step 4: Simplify right side
    658.39x = 371,935.85
  5. Step 5: Solve for x
    x = 371,935.85/658.39
  6. Step 6: Final answer
    x = 564.92

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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.