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Finding the Fourth Proportional to 442.94, 611.06 and 338.13

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Solution

The fourth proportional to 442.94, 611.06 and 338.13 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.94 : 611.06 = 338.13 : x
  2. Step 2: Convert to fraction form
    442.94/611.06 = 338.13/x
  3. Step 3: Cross multiply
    442.94x = 611.06 × 338.13
  4. Step 4: Simplify right side
    442.94x = 206,616.03
  5. Step 5: Solve for x
    x = 206,616.03/442.94
  6. Step 6: Final answer
    x = 466.47

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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.