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Finding the Fourth Proportional to 463.77, 639.95 and 277.22

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Solution

The fourth proportional to 463.77, 639.95 and 277.22 is: 382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.77 : 639.95 = 277.22 : x
  2. Step 2: Convert to fraction form
    463.77/639.95 = 277.22/x
  3. Step 3: Cross multiply
    463.77x = 639.95 × 277.22
  4. Step 4: Simplify right side
    463.77x = 177,406.94
  5. Step 5: Solve for x
    x = 177,406.94/463.77
  6. Step 6: Final answer
    x = 382.53

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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.