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Finding the Fourth Proportional to 463.50, 639.66 and 288.96

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Solution

The fourth proportional to 463.50, 639.66 and 288.96 is: 398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 639.66 = 288.96 : x
  2. Step 2: Convert to fraction form
    463.50/639.66 = 288.96/x
  3. Step 3: Cross multiply
    463.50x = 639.66 × 288.96
  4. Step 4: Simplify right side
    463.50x = 184,836.15
  5. Step 5: Solve for x
    x = 184,836.15/463.50
  6. Step 6: Final answer
    x = 398.78

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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.