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Finding the Fourth Proportional to 275.44, 409.82 and 260.08

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Solution

The fourth proportional to 275.44, 409.82 and 260.08 is: 386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 409.82 = 260.08 : x
  2. Step 2: Convert to fraction form
    275.44/409.82 = 260.08/x
  3. Step 3: Cross multiply
    275.44x = 409.82 × 260.08
  4. Step 4: Simplify right side
    275.44x = 106,585.99
  5. Step 5: Solve for x
    x = 106,585.99/275.44
  6. Step 6: Final answer
    x = 386.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.