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Finding the Fourth Proportional to 438.84, 605.56 and 252.28

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Solution

The fourth proportional to 438.84, 605.56 and 252.28 is: 348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.84 : 605.56 = 252.28 : x
  2. Step 2: Convert to fraction form
    438.84/605.56 = 252.28/x
  3. Step 3: Cross multiply
    438.84x = 605.56 × 252.28
  4. Step 4: Simplify right side
    438.84x = 152,770.68
  5. Step 5: Solve for x
    x = 152,770.68/438.84
  6. Step 6: Final answer
    x = 348.12

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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.