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Finding the Fourth Proportional to 463.97, 696.35 and 232.80

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Solution

The fourth proportional to 463.97, 696.35 and 232.80 is: 349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.97 : 696.35 = 232.80 : x
  2. Step 2: Convert to fraction form
    463.97/696.35 = 232.80/x
  3. Step 3: Cross multiply
    463.97x = 696.35 × 232.80
  4. Step 4: Simplify right side
    463.97x = 162,110.28
  5. Step 5: Solve for x
    x = 162,110.28/463.97
  6. Step 6: Final answer
    x = 349.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.