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Finding the Fourth Proportional to 608.92, 912.74 and 243.56

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Solution

The fourth proportional to 608.92, 912.74 and 243.56 is: 365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.92 : 912.74 = 243.56 : x
  2. Step 2: Convert to fraction form
    608.92/912.74 = 243.56/x
  3. Step 3: Cross multiply
    608.92x = 912.74 × 243.56
  4. Step 4: Simplify right side
    608.92x = 222,306.95
  5. Step 5: Solve for x
    x = 222,306.95/608.92
  6. Step 6: Final answer
    x = 365.08

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Why These Related Problems?

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