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Finding the Fourth Proportional to 442.14, 610.06 and 245.64

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Solution

The fourth proportional to 442.14, 610.06 and 245.64 is: 338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.14 : 610.06 = 245.64 : x
  2. Step 2: Convert to fraction form
    442.14/610.06 = 245.64/x
  3. Step 3: Cross multiply
    442.14x = 610.06 × 245.64
  4. Step 4: Simplify right side
    442.14x = 149,855.14
  5. Step 5: Solve for x
    x = 149,855.14/442.14
  6. Step 6: Final answer
    x = 338.93

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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.