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Finding the Fourth Proportional to 867.54, 1,301.46 and 319.71

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Solution

The fourth proportional to 867.54, 1,301.46 and 319.71 is: 479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.54 : 1,301.46 = 319.71 : x
  2. Step 2: Convert to fraction form
    867.54/1,301.46 = 319.71/x
  3. Step 3: Cross multiply
    867.54x = 1,301.46 × 319.71
  4. Step 4: Simplify right side
    867.54x = 416,089.78
  5. Step 5: Solve for x
    x = 416,089.78/867.54
  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.