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Finding the Fourth Proportional to 714.38, 1,071.78 and 252.20

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Solution

The fourth proportional to 714.38, 1,071.78 and 252.20 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.38 : 1,071.78 = 252.20 : x
  2. Step 2: Convert to fraction form
    714.38/1,071.78 = 252.20/x
  3. Step 3: Cross multiply
    714.38x = 1,071.78 × 252.20
  4. Step 4: Simplify right side
    714.38x = 270,297.56
  5. Step 5: Solve for x
    x = 270,297.56/714.38
  6. Step 6: Final answer
    x = 378.37

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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.