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Finding the Fourth Proportional to 424.17, 636.59 and 295.09

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Solution

The fourth proportional to 424.17, 636.59 and 295.09 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.17 : 636.59 = 295.09 : x
  2. Step 2: Convert to fraction form
    424.17/636.59 = 295.09/x
  3. Step 3: Cross multiply
    424.17x = 636.59 × 295.09
  4. Step 4: Simplify right side
    424.17x = 187,850.49
  5. Step 5: Solve for x
    x = 187,850.49/424.17
  6. Step 6: Final answer
    x = 442.87

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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.