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Finding the Fourth Proportional to 463.46, 694.71 and 170.70

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Solution

The fourth proportional to 463.46, 694.71 and 170.70 is: 255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.46 : 694.71 = 170.70 : x
  2. Step 2: Convert to fraction form
    463.46/694.71 = 170.70/x
  3. Step 3: Cross multiply
    463.46x = 694.71 × 170.70
  4. Step 4: Simplify right side
    463.46x = 118,587.00
  5. Step 5: Solve for x
    x = 118,587.00/463.46
  6. Step 6: Final answer
    x = 255.88

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