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Finding the Fourth Proportional to 608.49, 912.76 and 197.69

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Solution

The fourth proportional to 608.49, 912.76 and 197.69 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.49 : 912.76 = 197.69 : x
  2. Step 2: Convert to fraction form
    608.49/912.76 = 197.69/x
  3. Step 3: Cross multiply
    608.49x = 912.76 × 197.69
  4. Step 4: Simplify right side
    608.49x = 180,438.47
  5. Step 5: Solve for x
    x = 180,438.47/608.49
  6. Step 6: Final answer
    x = 296.53

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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.