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Finding the Fourth Proportional to 275.82, 414.66 and 260.94

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Solution

The fourth proportional to 275.82, 414.66 and 260.94 is: 392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 414.66 = 260.94 : x
  2. Step 2: Convert to fraction form
    275.82/414.66 = 260.94/x
  3. Step 3: Cross multiply
    275.82x = 414.66 × 260.94
  4. Step 4: Simplify right side
    275.82x = 108,201.38
  5. Step 5: Solve for x
    x = 108,201.38/275.82
  6. Step 6: Final answer
    x = 392.29

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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.