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Finding the Fourth Proportional to 425.69, 637.82 and 409.69

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Solution

The fourth proportional to 425.69, 637.82 and 409.69 is: 613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.69 : 637.82 = 409.69 : x
  2. Step 2: Convert to fraction form
    425.69/637.82 = 409.69/x
  3. Step 3: Cross multiply
    425.69x = 637.82 × 409.69
  4. Step 4: Simplify right side
    425.69x = 261,304.83
  5. Step 5: Solve for x
    x = 261,304.83/425.69
  6. Step 6: Final answer
    x = 613.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.