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Finding the Fourth Proportional to 838.46, 1,257.86 and 253.49

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Solution

The fourth proportional to 838.46, 1,257.86 and 253.49 is: 380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,257.86 = 253.49 : x
  2. Step 2: Convert to fraction form
    838.46/1,257.86 = 253.49/x
  3. Step 3: Cross multiply
    838.46x = 1,257.86 × 253.49
  4. Step 4: Simplify right side
    838.46x = 318,858.71
  5. Step 5: Solve for x
    x = 318,858.71/838.46
  6. Step 6: Final answer
    x = 380.29

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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.