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Finding the Fourth Proportional to 394.19, 544 and 219.53

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Solution

The fourth proportional to 394.19, 544 and 219.53 is: 302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.19 : 544 = 219.53 : x
  2. Step 2: Convert to fraction form
    394.19/544 = 219.53/x
  3. Step 3: Cross multiply
    394.19x = 544 × 219.53
  4. Step 4: Simplify right side
    394.19x = 119,424.32
  5. Step 5: Solve for x
    x = 119,424.32/394.19
  6. Step 6: Final answer
    x = 302.96

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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.