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Finding the Fourth Proportional to 463.93, 639.90 and 277.29

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Solution

The fourth proportional to 463.93, 639.90 and 277.29 is: 382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.93 : 639.90 = 277.29 : x
  2. Step 2: Convert to fraction form
    463.93/639.90 = 277.29/x
  3. Step 3: Cross multiply
    463.93x = 639.90 × 277.29
  4. Step 4: Simplify right side
    463.93x = 177,437.87
  5. Step 5: Solve for x
    x = 177,437.87/463.93
  6. Step 6: Final answer
    x = 382.47

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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.