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Finding the Fourth Proportional to 463.14, 638.93 and 276.64

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Solution

The fourth proportional to 463.14, 638.93 and 276.64 is: 381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 638.93 = 276.64 : x
  2. Step 2: Convert to fraction form
    463.14/638.93 = 276.64/x
  3. Step 3: Cross multiply
    463.14x = 638.93 × 276.64
  4. Step 4: Simplify right side
    463.14x = 176,752.69
  5. Step 5: Solve for x
    x = 176,752.69/463.14
  6. Step 6: Final answer
    x = 381.64

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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.