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Finding the Fourth Proportional to 868.19, 1,301.38 and 320.03

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Solution

The fourth proportional to 868.19, 1,301.38 and 320.03 is: 479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.19 : 1,301.38 = 320.03 : x
  2. Step 2: Convert to fraction form
    868.19/1,301.38 = 320.03/x
  3. Step 3: Cross multiply
    868.19x = 1,301.38 × 320.03
  4. Step 4: Simplify right side
    868.19x = 416,473.33
  5. Step 5: Solve for x
    x = 416,473.33/868.19
  6. Step 6: Final answer
    x = 479.70

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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.