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Finding the Fourth Proportional to 701.66, 968.21 and 418.03

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Solution

The fourth proportional to 701.66, 968.21 and 418.03 is: 576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.66 : 968.21 = 418.03 : x
  2. Step 2: Convert to fraction form
    701.66/968.21 = 418.03/x
  3. Step 3: Cross multiply
    701.66x = 968.21 × 418.03
  4. Step 4: Simplify right side
    701.66x = 404,740.83
  5. Step 5: Solve for x
    x = 404,740.83/701.66
  6. Step 6: Final answer
    x = 576.83

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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.