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Finding the Fourth Proportional to 608.56, 912.77 and 197.74

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Solution

The fourth proportional to 608.56, 912.77 and 197.74 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.56 : 912.77 = 197.74 : x
  2. Step 2: Convert to fraction form
    608.56/912.77 = 197.74/x
  3. Step 3: Cross multiply
    608.56x = 912.77 × 197.74
  4. Step 4: Simplify right side
    608.56x = 180,492.03
  5. Step 5: Solve for x
    x = 180,492.03/608.56
  6. Step 6: Final answer
    x = 296.59

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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.