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Finding the Fourth Proportional to 566.41, 849.16 and 219.73

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Solution

The fourth proportional to 566.41, 849.16 and 219.73 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.41 : 849.16 = 219.73 : x
  2. Step 2: Convert to fraction form
    566.41/849.16 = 219.73/x
  3. Step 3: Cross multiply
    566.41x = 849.16 × 219.73
  4. Step 4: Simplify right side
    566.41x = 186,585.93
  5. Step 5: Solve for x
    x = 186,585.93/566.41
  6. Step 6: Final answer
    x = 329.42

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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.