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Finding the Fourth Proportional to 275.94, 410.37 and 267.30

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Solution

The fourth proportional to 275.94, 410.37 and 267.30 is: 397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 410.37 = 267.30 : x
  2. Step 2: Convert to fraction form
    275.94/410.37 = 267.30/x
  3. Step 3: Cross multiply
    275.94x = 410.37 × 267.30
  4. Step 4: Simplify right side
    275.94x = 109,691.90
  5. Step 5: Solve for x
    x = 109,691.90/275.94
  6. Step 6: Final answer
    x = 397.52

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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.