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Finding the Fourth Proportional to 705.99, 974.31 and 426.25

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Solution

The fourth proportional to 705.99, 974.31 and 426.25 is: 588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.99 : 974.31 = 426.25 : x
  2. Step 2: Convert to fraction form
    705.99/974.31 = 426.25/x
  3. Step 3: Cross multiply
    705.99x = 974.31 × 426.25
  4. Step 4: Simplify right side
    705.99x = 415,295.75
  5. Step 5: Solve for x
    x = 415,295.75/705.99
  6. Step 6: Final answer
    x = 588.24

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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.