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Finding the Fourth Proportional to 394.31, 544.16 and 219.67

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Solution

The fourth proportional to 394.31, 544.16 and 219.67 is: 303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.31 : 544.16 = 219.67 : x
  2. Step 2: Convert to fraction form
    394.31/544.16 = 219.67/x
  3. Step 3: Cross multiply
    394.31x = 544.16 × 219.67
  4. Step 4: Simplify right side
    394.31x = 119,534.82
  5. Step 5: Solve for x
    x = 119,534.82/394.31
  6. Step 6: Final answer
    x = 303.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.