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Finding the Fourth Proportional to 868.66, 1,301.82 and 320.32

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Solution

The fourth proportional to 868.66, 1,301.82 and 320.32 is: 480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.66 : 1,301.82 = 320.32 : x
  2. Step 2: Convert to fraction form
    868.66/1,301.82 = 320.32/x
  3. Step 3: Cross multiply
    868.66x = 1,301.82 × 320.32
  4. Step 4: Simplify right side
    868.66x = 416,998.98
  5. Step 5: Solve for x
    x = 416,998.98/868.66
  6. Step 6: Final answer
    x = 480.05

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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.