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Finding the Fourth Proportional to 394.42, 544.26 and 219.77

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Solution

The fourth proportional to 394.42, 544.26 and 219.77 is: 303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.42 : 544.26 = 219.77 : x
  2. Step 2: Convert to fraction form
    394.42/544.26 = 219.77/x
  3. Step 3: Cross multiply
    394.42x = 544.26 × 219.77
  4. Step 4: Simplify right side
    394.42x = 119,612.02
  5. Step 5: Solve for x
    x = 119,612.02/394.42
  6. Step 6: Final answer
    x = 303.26

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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.