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Finding the Fourth Proportional to 442.72, 610.92 and 276.88

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Solution

The fourth proportional to 442.72, 610.92 and 276.88 is: 382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 610.92 = 276.88 : x
  2. Step 2: Convert to fraction form
    442.72/610.92 = 276.88/x
  3. Step 3: Cross multiply
    442.72x = 610.92 × 276.88
  4. Step 4: Simplify right side
    442.72x = 169,151.53
  5. Step 5: Solve for x
    x = 169,151.53/442.72
  6. Step 6: Final answer
    x = 382.07

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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.