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Finding the Fourth Proportional to 705.78, 974.15 and 411.09

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Solution

The fourth proportional to 705.78, 974.15 and 411.09 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.78 : 974.15 = 411.09 : x
  2. Step 2: Convert to fraction form
    705.78/974.15 = 411.09/x
  3. Step 3: Cross multiply
    705.78x = 974.15 × 411.09
  4. Step 4: Simplify right side
    705.78x = 400,461.27
  5. Step 5: Solve for x
    x = 400,461.27/705.78
  6. Step 6: Final answer
    x = 567.40

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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.