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Finding the Fourth Proportional to 613.97, 920.88 and 267.12

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Solution

The fourth proportional to 613.97, 920.88 and 267.12 is: 400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.97 : 920.88 = 267.12 : x
  2. Step 2: Convert to fraction form
    613.97/920.88 = 267.12/x
  3. Step 3: Cross multiply
    613.97x = 920.88 × 267.12
  4. Step 4: Simplify right side
    613.97x = 245,985.47
  5. Step 5: Solve for x
    x = 245,985.47/613.97
  6. Step 6: Final answer
    x = 400.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.