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Finding the Fourth Proportional to 705.99, 974.17 and 391.18

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Solution

The fourth proportional to 705.99, 974.17 and 391.18 is: 539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.99 : 974.17 = 391.18 : x
  2. Step 2: Convert to fraction form
    705.99/974.17 = 391.18/x
  3. Step 3: Cross multiply
    705.99x = 974.17 × 391.18
  4. Step 4: Simplify right side
    705.99x = 381,069.48
  5. Step 5: Solve for x
    x = 381,069.48/705.99
  6. Step 6: Final answer
    x = 539.77

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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.