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Finding the Fourth Proportional to 463.59, 639.53 and 277.09

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Solution

The fourth proportional to 463.59, 639.53 and 277.09 is: 382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.59 : 639.53 = 277.09 : x
  2. Step 2: Convert to fraction form
    463.59/639.53 = 277.09/x
  3. Step 3: Cross multiply
    463.59x = 639.53 × 277.09
  4. Step 4: Simplify right side
    463.59x = 177,205.42
  5. Step 5: Solve for x
    x = 177,205.42/463.59
  6. Step 6: Final answer
    x = 382.25

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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.