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Finding the Fourth Proportional to 275.52, 411.84 and 269.76

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Solution

The fourth proportional to 275.52, 411.84 and 269.76 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.52 : 411.84 = 269.76 : x
  2. Step 2: Convert to fraction form
    275.52/411.84 = 269.76/x
  3. Step 3: Cross multiply
    275.52x = 411.84 × 269.76
  4. Step 4: Simplify right side
    275.52x = 111,097.96
  5. Step 5: Solve for x
    x = 111,097.96/275.52
  6. Step 6: Final answer
    x = 403.23

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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.