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Finding the Fourth Proportional to 438.98, 605.75 and 252.44

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Solution

The fourth proportional to 438.98, 605.75 and 252.44 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 605.75 = 252.44 : x
  2. Step 2: Convert to fraction form
    438.98/605.75 = 252.44/x
  3. Step 3: Cross multiply
    438.98x = 605.75 × 252.44
  4. Step 4: Simplify right side
    438.98x = 152,911.24
  5. Step 5: Solve for x
    x = 152,911.24/438.98
  6. Step 6: Final answer
    x = 348.34

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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.