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Finding the Fourth Proportional to 709.82, 979.50 and 395.12

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Solution

The fourth proportional to 709.82, 979.50 and 395.12 is: 545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.82 : 979.50 = 395.12 : x
  2. Step 2: Convert to fraction form
    709.82/979.50 = 395.12/x
  3. Step 3: Cross multiply
    709.82x = 979.50 × 395.12
  4. Step 4: Simplify right side
    709.82x = 387,020.04
  5. Step 5: Solve for x
    x = 387,020.04/709.82
  6. Step 6: Final answer
    x = 545.24

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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.