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Finding the Fourth Proportional to 275.27, 415.37 and 265.61

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Solution

The fourth proportional to 275.27, 415.37 and 265.61 is: 400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.27 : 415.37 = 265.61 : x
  2. Step 2: Convert to fraction form
    275.27/415.37 = 265.61/x
  3. Step 3: Cross multiply
    275.27x = 415.37 × 265.61
  4. Step 4: Simplify right side
    275.27x = 110,328.13
  5. Step 5: Solve for x
    x = 110,328.13/275.27
  6. Step 6: Final answer
    x = 400.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.