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Finding the Fourth Proportional to 463.75, 639.73 and 288.97

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Solution

The fourth proportional to 463.75, 639.73 and 288.97 is: 398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.75 : 639.73 = 288.97 : x
  2. Step 2: Convert to fraction form
    463.75/639.73 = 288.97/x
  3. Step 3: Cross multiply
    463.75x = 639.73 × 288.97
  4. Step 4: Simplify right side
    463.75x = 184,862.78
  5. Step 5: Solve for x
    x = 184,862.78/463.75
  6. Step 6: Final answer
    x = 398.63

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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.