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Finding the Fourth Proportional to 705.92, 974.19 and 411.21

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Solution

The fourth proportional to 705.92, 974.19 and 411.21 is: 567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.92 : 974.19 = 411.21 : x
  2. Step 2: Convert to fraction form
    705.92/974.19 = 411.21/x
  3. Step 3: Cross multiply
    705.92x = 974.19 × 411.21
  4. Step 4: Simplify right side
    705.92x = 400,598.21
  5. Step 5: Solve for x
    x = 400,598.21/705.92
  6. Step 6: Final answer
    x = 567.49

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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.