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Finding the Fourth Proportional to 438.42, 605.01 and 263.78

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Solution

The fourth proportional to 438.42, 605.01 and 263.78 is: 364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.42 : 605.01 = 263.78 : x
  2. Step 2: Convert to fraction form
    438.42/605.01 = 263.78/x
  3. Step 3: Cross multiply
    438.42x = 605.01 × 263.78
  4. Step 4: Simplify right side
    438.42x = 159,589.54
  5. Step 5: Solve for x
    x = 159,589.54/438.42
  6. Step 6: Final answer
    x = 364.01

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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.