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Finding the Fourth Proportional to 868.13, 1,301.42 and 320.18

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Solution

The fourth proportional to 868.13, 1,301.42 and 320.18 is: 479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.13 : 1,301.42 = 320.18 : x
  2. Step 2: Convert to fraction form
    868.13/1,301.42 = 320.18/x
  3. Step 3: Cross multiply
    868.13x = 1,301.42 × 320.18
  4. Step 4: Simplify right side
    868.13x = 416,680.55
  5. Step 5: Solve for x
    x = 416,680.55/868.13
  6. Step 6: Final answer
    x = 479.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.