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Finding the Fourth Proportional to 575.40, 863.10 and 267.15

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Solution

The fourth proportional to 575.40, 863.10 and 267.15 is: 400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.40 : 863.10 = 267.15 : x
  2. Step 2: Convert to fraction form
    575.40/863.10 = 267.15/x
  3. Step 3: Cross multiply
    575.40x = 863.10 × 267.15
  4. Step 4: Simplify right side
    575.40x = 230,577.17
  5. Step 5: Solve for x
    x = 230,577.17/575.40
  6. Step 6: Final answer
    x = 400.73

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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.