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Finding the Fourth Proportional to 394.62, 544.76 and 263.71

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Solution

The fourth proportional to 394.62, 544.76 and 263.71 is: 364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.62 : 544.76 = 263.71 : x
  2. Step 2: Convert to fraction form
    394.62/544.76 = 263.71/x
  3. Step 3: Cross multiply
    394.62x = 544.76 × 263.71
  4. Step 4: Simplify right side
    394.62x = 143,658.66
  5. Step 5: Solve for x
    x = 143,658.66/394.62
  6. Step 6: Final answer
    x = 364.04

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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.