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Finding the Fourth Proportional to 442.06, 610.24 and 331.90

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Solution

The fourth proportional to 442.06, 610.24 and 331.90 is: 458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.06 : 610.24 = 331.90 : x
  2. Step 2: Convert to fraction form
    442.06/610.24 = 331.90/x
  3. Step 3: Cross multiply
    442.06x = 610.24 × 331.90
  4. Step 4: Simplify right side
    442.06x = 202,538.66
  5. Step 5: Solve for x
    x = 202,538.66/442.06
  6. Step 6: Final answer
    x = 458.17

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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.