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Finding the Fourth Proportional to 701.97, 968.72 and 407.31

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Solution

The fourth proportional to 701.97, 968.72 and 407.31 is: 562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.97 : 968.72 = 407.31 : x
  2. Step 2: Convert to fraction form
    701.97/968.72 = 407.31/x
  3. Step 3: Cross multiply
    701.97x = 968.72 × 407.31
  4. Step 4: Simplify right side
    701.97x = 394,567.31
  5. Step 5: Solve for x
    x = 394,567.31/701.97
  6. Step 6: Final answer
    x = 562.09

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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.