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Finding the Fourth Proportional to 867.62, 1,301.38 and 319.76

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Solution

The fourth proportional to 867.62, 1,301.38 and 319.76 is: 479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.62 : 1,301.38 = 319.76 : x
  2. Step 2: Convert to fraction form
    867.62/1,301.38 = 319.76/x
  3. Step 3: Cross multiply
    867.62x = 1,301.38 × 319.76
  4. Step 4: Simplify right side
    867.62x = 416,129.27
  5. Step 5: Solve for x
    x = 416,129.27/867.62
  6. Step 6: Final answer
    x = 479.62

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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.