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Finding the Fourth Proportional to 658.26, 907.83 and 409.32

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Solution

The fourth proportional to 658.26, 907.83 and 409.32 is: 564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.26 : 907.83 = 409.32 : x
  2. Step 2: Convert to fraction form
    658.26/907.83 = 409.32/x
  3. Step 3: Cross multiply
    658.26x = 907.83 × 409.32
  4. Step 4: Simplify right side
    658.26x = 371,592.98
  5. Step 5: Solve for x
    x = 371,592.98/658.26
  6. Step 6: Final answer
    x = 564.51

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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.