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Finding the Fourth Proportional to 442.14, 610.23 and 276.30

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Solution

The fourth proportional to 442.14, 610.23 and 276.30 is: 381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.14 : 610.23 = 276.30 : x
  2. Step 2: Convert to fraction form
    442.14/610.23 = 276.30/x
  3. Step 3: Cross multiply
    442.14x = 610.23 × 276.30
  4. Step 4: Simplify right side
    442.14x = 168,606.55
  5. Step 5: Solve for x
    x = 168,606.55/442.14
  6. Step 6: Final answer
    x = 381.34

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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.