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Finding the Fourth Proportional to 575.67, 862.31 and 267.79

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Solution

The fourth proportional to 575.67, 862.31 and 267.79 is: 401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.67 : 862.31 = 267.79 : x
  2. Step 2: Convert to fraction form
    575.67/862.31 = 267.79/x
  3. Step 3: Cross multiply
    575.67x = 862.31 × 267.79
  4. Step 4: Simplify right side
    575.67x = 230,914.50
  5. Step 5: Solve for x
    x = 230,914.50/575.67
  6. Step 6: Final answer
    x = 401.12

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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.