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Finding the Fourth Proportional to 463.66, 639.79 and 277.20

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Solution

The fourth proportional to 463.66, 639.79 and 277.20 is: 382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.66 : 639.79 = 277.20 : x
  2. Step 2: Convert to fraction form
    463.66/639.79 = 277.20/x
  3. Step 3: Cross multiply
    463.66x = 639.79 × 277.20
  4. Step 4: Simplify right side
    463.66x = 177,349.10
  5. Step 5: Solve for x
    x = 177,349.10/463.66
  6. Step 6: Final answer
    x = 382.50

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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.