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Finding the Fourth Proportional to 605.34, 908.07 and 194.38

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Solution

The fourth proportional to 605.34, 908.07 and 194.38 is: 291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 908.07 = 194.38 : x
  2. Step 2: Convert to fraction form
    605.34/908.07 = 194.38/x
  3. Step 3: Cross multiply
    605.34x = 908.07 × 194.38
  4. Step 4: Simplify right side
    605.34x = 176,510.65
  5. Step 5: Solve for x
    x = 176,510.65/605.34
  6. Step 6: Final answer
    x = 291.59

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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.