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Finding the Fourth Proportional to 838.71, 1,257.24 and 290.48

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Solution

The fourth proportional to 838.71, 1,257.24 and 290.48 is: 435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.71 : 1,257.24 = 290.48 : x
  2. Step 2: Convert to fraction form
    838.71/1,257.24 = 290.48/x
  3. Step 3: Cross multiply
    838.71x = 1,257.24 × 290.48
  4. Step 4: Simplify right side
    838.71x = 365,196.79
  5. Step 5: Solve for x
    x = 365,196.79/838.71
  6. Step 6: Final answer
    x = 435.43

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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.