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Finding the Fourth Proportional to 678.39, 1,016.91 and 331.71

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Solution

The fourth proportional to 678.39, 1,016.91 and 331.71 is: 497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.39 : 1,016.91 = 331.71 : x
  2. Step 2: Convert to fraction form
    678.39/1,016.91 = 331.71/x
  3. Step 3: Cross multiply
    678.39x = 1,016.91 × 331.71
  4. Step 4: Simplify right side
    678.39x = 337,319.22
  5. Step 5: Solve for x
    x = 337,319.22/678.39
  6. Step 6: Final answer
    x = 497.23

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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.