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Finding the Fourth Proportional to 705.94, 974.23 and 411.37

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Solution

The fourth proportional to 705.94, 974.23 and 411.37 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 974.23 = 411.37 : x
  2. Step 2: Convert to fraction form
    705.94/974.23 = 411.37/x
  3. Step 3: Cross multiply
    705.94x = 974.23 × 411.37
  4. Step 4: Simplify right side
    705.94x = 400,765.53
  5. Step 5: Solve for x
    x = 400,765.53/705.94
  6. Step 6: Final answer
    x = 567.71

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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.