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Finding the Fourth Proportional to 463.24, 639.48 and 288.82

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Solution

The fourth proportional to 463.24, 639.48 and 288.82 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.24 : 639.48 = 288.82 : x
  2. Step 2: Convert to fraction form
    463.24/639.48 = 288.82/x
  3. Step 3: Cross multiply
    463.24x = 639.48 × 288.82
  4. Step 4: Simplify right side
    463.24x = 184,694.61
  5. Step 5: Solve for x
    x = 184,694.61/463.24
  6. Step 6: Final answer
    x = 398.70

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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.