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Finding the Fourth Proportional to 410.98, 616.06 and 205.24

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Solution

The fourth proportional to 410.98, 616.06 and 205.24 is: 307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.98 : 616.06 = 205.24 : x
  2. Step 2: Convert to fraction form
    410.98/616.06 = 205.24/x
  3. Step 3: Cross multiply
    410.98x = 616.06 × 205.24
  4. Step 4: Simplify right side
    410.98x = 126,440.15
  5. Step 5: Solve for x
    x = 126,440.15/410.98
  6. Step 6: Final answer
    x = 307.66

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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.