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Finding the Fourth Proportional to 463.82, 640.17 and 289.13

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Solution

The fourth proportional to 463.82, 640.17 and 289.13 is: 399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.82 : 640.17 = 289.13 : x
  2. Step 2: Convert to fraction form
    463.82/640.17 = 289.13/x
  3. Step 3: Cross multiply
    463.82x = 640.17 × 289.13
  4. Step 4: Simplify right side
    463.82x = 185,089.15
  5. Step 5: Solve for x
    x = 185,089.15/463.82
  6. Step 6: Final answer
    x = 399.06

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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.