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Finding the Fourth Proportional to 394.72, 544.80 and 263.78

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Solution

The fourth proportional to 394.72, 544.80 and 263.78 is: 364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.72 : 544.80 = 263.78 : x
  2. Step 2: Convert to fraction form
    394.72/544.80 = 263.78/x
  3. Step 3: Cross multiply
    394.72x = 544.80 × 263.78
  4. Step 4: Simplify right side
    394.72x = 143,707.34
  5. Step 5: Solve for x
    x = 143,707.34/394.72
  6. Step 6: Final answer
    x = 364.07

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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.