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Finding the Fourth Proportional to 442.12, 610.42 and 276.40

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Solution

The fourth proportional to 442.12, 610.42 and 276.40 is: 381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.12 : 610.42 = 276.40 : x
  2. Step 2: Convert to fraction form
    442.12/610.42 = 276.40/x
  3. Step 3: Cross multiply
    442.12x = 610.42 × 276.40
  4. Step 4: Simplify right side
    442.12x = 168,720.09
  5. Step 5: Solve for x
    x = 168,720.09/442.12
  6. Step 6: Final answer
    x = 381.62

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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.