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Finding the Fourth Proportional to 705.71, 973.85 and 411.09

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Solution

The fourth proportional to 705.71, 973.85 and 411.09 is: 567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.71 : 973.85 = 411.09 : x
  2. Step 2: Convert to fraction form
    705.71/973.85 = 411.09/x
  3. Step 3: Cross multiply
    705.71x = 973.85 × 411.09
  4. Step 4: Simplify right side
    705.71x = 400,337.94
  5. Step 5: Solve for x
    x = 400,337.94/705.71
  6. Step 6: Final answer
    x = 567.29

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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.