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Finding the Fourth Proportional to 566.43, 849.38 and 219.56

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Solution

The fourth proportional to 566.43, 849.38 and 219.56 is: 329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.43 : 849.38 = 219.56 : x
  2. Step 2: Convert to fraction form
    566.43/849.38 = 219.56/x
  3. Step 3: Cross multiply
    566.43x = 849.38 × 219.56
  4. Step 4: Simplify right side
    566.43x = 186,484.53
  5. Step 5: Solve for x
    x = 186,484.53/566.43
  6. Step 6: Final answer
    x = 329.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.