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Finding the Fourth Proportional to 463.94, 697.18 and 247.68

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Solution

The fourth proportional to 463.94, 697.18 and 247.68 is: 372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.94 : 697.18 = 247.68 : x
  2. Step 2: Convert to fraction form
    463.94/697.18 = 247.68/x
  3. Step 3: Cross multiply
    463.94x = 697.18 × 247.68
  4. Step 4: Simplify right side
    463.94x = 172,677.54
  5. Step 5: Solve for x
    x = 172,677.54/463.94
  6. Step 6: Final answer
    x = 372.20

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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.