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Finding the Fourth Proportional to 438.97, 605.70 and 252.39

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Solution

The fourth proportional to 438.97, 605.70 and 252.39 is: 348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.97 : 605.70 = 252.39 : x
  2. Step 2: Convert to fraction form
    438.97/605.70 = 252.39/x
  3. Step 3: Cross multiply
    438.97x = 605.70 × 252.39
  4. Step 4: Simplify right side
    438.97x = 152,872.62
  5. Step 5: Solve for x
    x = 152,872.62/438.97
  6. Step 6: Final answer
    x = 348.25

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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.