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Finding the Fourth Proportional to 394.62, 544.80 and 284.22

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Solution

The fourth proportional to 394.62, 544.80 and 284.22 is: 392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.62 : 544.80 = 284.22 : x
  2. Step 2: Convert to fraction form
    394.62/544.80 = 284.22/x
  3. Step 3: Cross multiply
    394.62x = 544.80 × 284.22
  4. Step 4: Simplify right side
    394.62x = 154,843.06
  5. Step 5: Solve for x
    x = 154,843.06/394.62
  6. Step 6: Final answer
    x = 392.39

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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.