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Finding the Fourth Proportional to 867.80, 1,302.24 and 380.90

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Solution

The fourth proportional to 867.80, 1,302.24 and 380.90 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.80 : 1,302.24 = 380.90 : x
  2. Step 2: Convert to fraction form
    867.80/1,302.24 = 380.90/x
  3. Step 3: Cross multiply
    867.80x = 1,302.24 × 380.90
  4. Step 4: Simplify right side
    867.80x = 496,023.22
  5. Step 5: Solve for x
    x = 496,023.22/867.80
  6. Step 6: Final answer
    x = 571.59

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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.