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Finding the Fourth Proportional to 705.86, 974.29 and 426.05

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Solution

The fourth proportional to 705.86, 974.29 and 426.05 is: 588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.86 : 974.29 = 426.05 : x
  2. Step 2: Convert to fraction form
    705.86/974.29 = 426.05/x
  3. Step 3: Cross multiply
    705.86x = 974.29 × 426.05
  4. Step 4: Simplify right side
    705.86x = 415,095.57
  5. Step 5: Solve for x
    x = 415,095.57/705.86
  6. Step 6: Final answer
    x = 588.07

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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.