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Finding the Fourth Proportional to 838.48, 1,257.71 and 261.36

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Solution

The fourth proportional to 838.48, 1,257.71 and 261.36 is: 392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.48 : 1,257.71 = 261.36 : x
  2. Step 2: Convert to fraction form
    838.48/1,257.71 = 261.36/x
  3. Step 3: Cross multiply
    838.48x = 1,257.71 × 261.36
  4. Step 4: Simplify right side
    838.48x = 328,715.09
  5. Step 5: Solve for x
    x = 328,715.09/838.48
  6. Step 6: Final answer
    x = 392.04

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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.