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Finding the Fourth Proportional to 462.84, 638.44 and 276.27

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Solution

The fourth proportional to 462.84, 638.44 and 276.27 is: 381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 638.44 = 276.27 : x
  2. Step 2: Convert to fraction form
    462.84/638.44 = 276.27/x
  3. Step 3: Cross multiply
    462.84x = 638.44 × 276.27
  4. Step 4: Simplify right side
    462.84x = 176,381.82
  5. Step 5: Solve for x
    x = 176,381.82/462.84
  6. Step 6: Final answer
    x = 381.09

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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.