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Finding the Fourth Proportional to 653.41, 980.18 and 191.19

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Solution

The fourth proportional to 653.41, 980.18 and 191.19 is: 286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.41 : 980.18 = 191.19 : x
  2. Step 2: Convert to fraction form
    653.41/980.18 = 191.19/x
  3. Step 3: Cross multiply
    653.41x = 980.18 × 191.19
  4. Step 4: Simplify right side
    653.41x = 187,401.75
  5. Step 5: Solve for x
    x = 187,401.75/653.41
  6. Step 6: Final answer
    x = 286.81

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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.