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Finding the Fourth Proportional to 709.82, 979.48 and 395.08

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Solution

The fourth proportional to 709.82, 979.48 and 395.08 is: 545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.82 : 979.48 = 395.08 : x
  2. Step 2: Convert to fraction form
    709.82/979.48 = 395.08/x
  3. Step 3: Cross multiply
    709.82x = 979.48 × 395.08
  4. Step 4: Simplify right side
    709.82x = 386,972.96
  5. Step 5: Solve for x
    x = 386,972.96/709.82
  6. Step 6: Final answer
    x = 545.17

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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.