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Finding the Fourth Proportional to 410.81, 616.52 and 194.45

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Solution

The fourth proportional to 410.81, 616.52 and 194.45 is: 291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.81 : 616.52 = 194.45 : x
  2. Step 2: Convert to fraction form
    410.81/616.52 = 194.45/x
  3. Step 3: Cross multiply
    410.81x = 616.52 × 194.45
  4. Step 4: Simplify right side
    410.81x = 119,879.72
  5. Step 5: Solve for x
    x = 119,879.72/410.81
  6. Step 6: Final answer
    x = 291.81

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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.