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Finding the Fourth Proportional to 874.30, 1,311.85 and 380.86

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Solution

The fourth proportional to 874.30, 1,311.85 and 380.86 is: 571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.30 : 1,311.85 = 380.86 : x
  2. Step 2: Convert to fraction form
    874.30/1,311.85 = 380.86/x
  3. Step 3: Cross multiply
    874.30x = 1,311.85 × 380.86
  4. Step 4: Simplify right side
    874.30x = 499,631.19
  5. Step 5: Solve for x
    x = 499,631.19/874.30
  6. Step 6: Final answer
    x = 571.46

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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.