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Finding the Fourth Proportional to 442.24, 610.08 and 377.44

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Solution

The fourth proportional to 442.24, 610.08 and 377.44 is: 520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 610.08 = 377.44 : x
  2. Step 2: Convert to fraction form
    442.24/610.08 = 377.44/x
  3. Step 3: Cross multiply
    442.24x = 610.08 × 377.44
  4. Step 4: Simplify right side
    442.24x = 230,268.60
  5. Step 5: Solve for x
    x = 230,268.60/442.24
  6. Step 6: Final answer
    x = 520.69

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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.