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Finding the Fourth Proportional to 410.50, 616.23 and 194.10

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Solution

The fourth proportional to 410.50, 616.23 and 194.10 is: 291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 616.23 = 194.10 : x
  2. Step 2: Convert to fraction form
    410.50/616.23 = 194.10/x
  3. Step 3: Cross multiply
    410.50x = 616.23 × 194.10
  4. Step 4: Simplify right side
    410.50x = 119,610.24
  5. Step 5: Solve for x
    x = 119,610.24/410.50
  6. Step 6: Final answer
    x = 291.38

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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.