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Finding the Fourth Proportional to 275.78, 379.71 and 234.24

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Solution

The fourth proportional to 275.78, 379.71 and 234.24 is: 322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 379.71 = 234.24 : x
  2. Step 2: Convert to fraction form
    275.78/379.71 = 234.24/x
  3. Step 3: Cross multiply
    275.78x = 379.71 × 234.24
  4. Step 4: Simplify right side
    275.78x = 88,943.27
  5. Step 5: Solve for x
    x = 88,943.27/275.78
  6. Step 6: Final answer
    x = 322.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.