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Finding the Fourth Proportional to 838.20, 1,257.24 and 253.20

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Solution

The fourth proportional to 838.20, 1,257.24 and 253.20 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.20 : 1,257.24 = 253.20 : x
  2. Step 2: Convert to fraction form
    838.20/1,257.24 = 253.20/x
  3. Step 3: Cross multiply
    838.20x = 1,257.24 × 253.20
  4. Step 4: Simplify right side
    838.20x = 318,333.17
  5. Step 5: Solve for x
    x = 318,333.17/838.20
  6. Step 6: Final answer
    x = 379.78

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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.