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Finding the Fourth Proportional to 394.72, 544.65 and 263.90

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Solution

The fourth proportional to 394.72, 544.65 and 263.90 is: 364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.72 : 544.65 = 263.90 : x
  2. Step 2: Convert to fraction form
    394.72/544.65 = 263.90/x
  3. Step 3: Cross multiply
    394.72x = 544.65 × 263.90
  4. Step 4: Simplify right side
    394.72x = 143,733.14
  5. Step 5: Solve for x
    x = 143,733.14/394.72
  6. Step 6: Final answer
    x = 364.14

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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.