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Finding the Fourth Proportional to 442.45, 610.58 and 255.90

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Solution

The fourth proportional to 442.45, 610.58 and 255.90 is: 353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.45 : 610.58 = 255.90 : x
  2. Step 2: Convert to fraction form
    442.45/610.58 = 255.90/x
  3. Step 3: Cross multiply
    442.45x = 610.58 × 255.90
  4. Step 4: Simplify right side
    442.45x = 156,246.14
  5. Step 5: Solve for x
    x = 156,246.14/442.45
  6. Step 6: Final answer
    x = 353.14

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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.