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Finding the Fourth Proportional to 868.65, 1,301.81 and 320.32

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Solution

The fourth proportional to 868.65, 1,301.81 and 320.32 is: 480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.65 : 1,301.81 = 320.32 : x
  2. Step 2: Convert to fraction form
    868.65/1,301.81 = 320.32/x
  3. Step 3: Cross multiply
    868.65x = 1,301.81 × 320.32
  4. Step 4: Simplify right side
    868.65x = 416,995.78
  5. Step 5: Solve for x
    x = 416,995.78/868.65
  6. Step 6: Final answer
    x = 480.05

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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.