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Finding the Fourth Proportional to 709.92, 979.66 and 399.42

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Solution

The fourth proportional to 709.92, 979.66 and 399.42 is: 551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 979.66 = 399.42 : x
  2. Step 2: Convert to fraction form
    709.92/979.66 = 399.42/x
  3. Step 3: Cross multiply
    709.92x = 979.66 × 399.42
  4. Step 4: Simplify right side
    709.92x = 391,295.80
  5. Step 5: Solve for x
    x = 391,295.80/709.92
  6. Step 6: Final answer
    x = 551.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.