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Finding the Fourth Proportional to 705.87, 974.31 and 411.27

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Solution

The fourth proportional to 705.87, 974.31 and 411.27 is: 567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.87 : 974.31 = 411.27 : x
  2. Step 2: Convert to fraction form
    705.87/974.31 = 411.27/x
  3. Step 3: Cross multiply
    705.87x = 974.31 × 411.27
  4. Step 4: Simplify right side
    705.87x = 400,704.47
  5. Step 5: Solve for x
    x = 400,704.47/705.87
  6. Step 6: Final answer
    x = 567.67

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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.