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Finding the Fourth Proportional to 575.06, 862.61 and 267.19

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Solution

The fourth proportional to 575.06, 862.61 and 267.19 is: 400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.06 : 862.61 = 267.19 : x
  2. Step 2: Convert to fraction form
    575.06/862.61 = 267.19/x
  3. Step 3: Cross multiply
    575.06x = 862.61 × 267.19
  4. Step 4: Simplify right side
    575.06x = 230,477.27
  5. Step 5: Solve for x
    x = 230,477.27/575.06
  6. Step 6: Final answer
    x = 400.79

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