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Finding the Fourth Proportional to 394.84, 544.88 and 220.16

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Solution

The fourth proportional to 394.84, 544.88 and 220.16 is: 303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.84 : 544.88 = 220.16 : x
  2. Step 2: Convert to fraction form
    394.84/544.88 = 220.16/x
  3. Step 3: Cross multiply
    394.84x = 544.88 × 220.16
  4. Step 4: Simplify right side
    394.84x = 119,960.78
  5. Step 5: Solve for x
    x = 119,960.78/394.84
  6. Step 6: Final answer
    x = 303.82

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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.