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Finding the Fourth Proportional to 442.87, 610.94 and 295.55

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Solution

The fourth proportional to 442.87, 610.94 and 295.55 is: 407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.87 : 610.94 = 295.55 : x
  2. Step 2: Convert to fraction form
    442.87/610.94 = 295.55/x
  3. Step 3: Cross multiply
    442.87x = 610.94 × 295.55
  4. Step 4: Simplify right side
    442.87x = 180,563.29
  5. Step 5: Solve for x
    x = 180,563.29/442.87
  6. Step 6: Final answer
    x = 407.71

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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.