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Finding the Fourth Proportional to 605.58, 908.34 and 240.42

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Solution

The fourth proportional to 605.58, 908.34 and 240.42 is: 360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.58 : 908.34 = 240.42 : x
  2. Step 2: Convert to fraction form
    605.58/908.34 = 240.42/x
  3. Step 3: Cross multiply
    605.58x = 908.34 × 240.42
  4. Step 4: Simplify right side
    605.58x = 218,383.10
  5. Step 5: Solve for x
    x = 218,383.10/605.58
  6. Step 6: Final answer
    x = 360.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.