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Finding the Fourth Proportional to 463.52, 639.50 and 277.02

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Solution

The fourth proportional to 463.52, 639.50 and 277.02 is: 382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 639.50 = 277.02 : x
  2. Step 2: Convert to fraction form
    463.52/639.50 = 277.02/x
  3. Step 3: Cross multiply
    463.52x = 639.50 × 277.02
  4. Step 4: Simplify right side
    463.52x = 177,152.90
  5. Step 5: Solve for x
    x = 177,152.90/463.52
  6. Step 6: Final answer
    x = 382.19

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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.