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Finding the Fourth Proportional to 575.38, 862.27 and 311.27

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Solution

The fourth proportional to 575.38, 862.27 and 311.27 is: 466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.38 : 862.27 = 311.27 : x
  2. Step 2: Convert to fraction form
    575.38/862.27 = 311.27/x
  3. Step 3: Cross multiply
    575.38x = 862.27 × 311.27
  4. Step 4: Simplify right side
    575.38x = 268,395.55
  5. Step 5: Solve for x
    x = 268,395.55/575.38
  6. Step 6: Final answer
    x = 466.46

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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.