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Finding the Fourth Proportional to 709.74, 979.42 and 395

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Solution

The fourth proportional to 709.74, 979.42 and 395 is: 545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 979.42 = 395 : x
  2. Step 2: Convert to fraction form
    709.74/979.42 = 395/x
  3. Step 3: Cross multiply
    709.74x = 979.42 × 395
  4. Step 4: Simplify right side
    709.74x = 386,870.90
  5. Step 5: Solve for x
    x = 386,870.90/709.74
  6. Step 6: Final answer
    x = 545.09

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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.