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Finding the Fourth Proportional to 442.69, 610.93 and 246.19

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Solution

The fourth proportional to 442.69, 610.93 and 246.19 is: 339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 610.93 = 246.19 : x
  2. Step 2: Convert to fraction form
    442.69/610.93 = 246.19/x
  3. Step 3: Cross multiply
    442.69x = 610.93 × 246.19
  4. Step 4: Simplify right side
    442.69x = 150,400.57
  5. Step 5: Solve for x
    x = 150,400.57/442.69
  6. Step 6: Final answer
    x = 339.75

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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.