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Finding the Fourth Proportional to 442.77, 610.81 and 276.90

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Solution

The fourth proportional to 442.77, 610.81 and 276.90 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.77 : 610.81 = 276.90 : x
  2. Step 2: Convert to fraction form
    442.77/610.81 = 276.90/x
  3. Step 3: Cross multiply
    442.77x = 610.81 × 276.90
  4. Step 4: Simplify right side
    442.77x = 169,133.29
  5. Step 5: Solve for x
    x = 169,133.29/442.77
  6. Step 6: Final answer
    x = 381.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.