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Finding the Fourth Proportional to 394.29, 544.10 and 219.64

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Solution

The fourth proportional to 394.29, 544.10 and 219.64 is: 303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.29 : 544.10 = 219.64 : x
  2. Step 2: Convert to fraction form
    394.29/544.10 = 219.64/x
  3. Step 3: Cross multiply
    394.29x = 544.10 × 219.64
  4. Step 4: Simplify right side
    394.29x = 119,506.12
  5. Step 5: Solve for x
    x = 119,506.12/394.29
  6. Step 6: Final answer
    x = 303.09

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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.