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Finding the Fourth Proportional to 438.54, 605.07 and 263.97

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Solution

The fourth proportional to 438.54, 605.07 and 263.97 is: 364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.54 : 605.07 = 263.97 : x
  2. Step 2: Convert to fraction form
    438.54/605.07 = 263.97/x
  3. Step 3: Cross multiply
    438.54x = 605.07 × 263.97
  4. Step 4: Simplify right side
    438.54x = 159,720.33
  5. Step 5: Solve for x
    x = 159,720.33/438.54
  6. Step 6: Final answer
    x = 364.21

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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.