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Finding the Fourth Proportional to 463.84, 640.20 and 277.43

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Solution

The fourth proportional to 463.84, 640.20 and 277.43 is: 382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.84 : 640.20 = 277.43 : x
  2. Step 2: Convert to fraction form
    463.84/640.20 = 277.43/x
  3. Step 3: Cross multiply
    463.84x = 640.20 × 277.43
  4. Step 4: Simplify right side
    463.84x = 177,610.69
  5. Step 5: Solve for x
    x = 177,610.69/463.84
  6. Step 6: Final answer
    x = 382.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.