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Finding the Fourth Proportional to 275.07, 410.19 and 272.61

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Solution

The fourth proportional to 275.07, 410.19 and 272.61 is: 406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.07 : 410.19 = 272.61 : x
  2. Step 2: Convert to fraction form
    275.07/410.19 = 272.61/x
  3. Step 3: Cross multiply
    275.07x = 410.19 × 272.61
  4. Step 4: Simplify right side
    275.07x = 111,819.34
  5. Step 5: Solve for x
    x = 111,819.34/275.07
  6. Step 6: Final answer
    x = 406.51

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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.