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Finding the Fourth Proportional to 410.60, 616.10 and 194.14

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Solution

The fourth proportional to 410.60, 616.10 and 194.14 is: 291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.60 : 616.10 = 194.14 : x
  2. Step 2: Convert to fraction form
    410.60/616.10 = 194.14/x
  3. Step 3: Cross multiply
    410.60x = 616.10 × 194.14
  4. Step 4: Simplify right side
    410.60x = 119,609.65
  5. Step 5: Solve for x
    x = 119,609.65/410.60
  6. Step 6: Final answer
    x = 291.30

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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.