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Finding the Fourth Proportional to 410.84, 616.86 and 194.84

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Solution

The fourth proportional to 410.84, 616.86 and 194.84 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.84 : 616.86 = 194.84 : x
  2. Step 2: Convert to fraction form
    410.84/616.86 = 194.84/x
  3. Step 3: Cross multiply
    410.84x = 616.86 × 194.84
  4. Step 4: Simplify right side
    410.84x = 120,189.00
  5. Step 5: Solve for x
    x = 120,189.00/410.84
  6. Step 6: Final answer
    x = 292.54

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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.