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Finding the Fourth Proportional to 410.59, 616.15 and 194.18

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Solution

The fourth proportional to 410.59, 616.15 and 194.18 is: 291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.59 : 616.15 = 194.18 : x
  2. Step 2: Convert to fraction form
    410.59/616.15 = 194.18/x
  3. Step 3: Cross multiply
    410.59x = 616.15 × 194.18
  4. Step 4: Simplify right side
    410.59x = 119,644.01
  5. Step 5: Solve for x
    x = 119,644.01/410.59
  6. Step 6: Final answer
    x = 291.40

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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.