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Finding the Fourth Proportional to 438.78, 605.65 and 261.87

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Solution

The fourth proportional to 438.78, 605.65 and 261.87 is: 361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.78 : 605.65 = 261.87 : x
  2. Step 2: Convert to fraction form
    438.78/605.65 = 261.87/x
  3. Step 3: Cross multiply
    438.78x = 605.65 × 261.87
  4. Step 4: Simplify right side
    438.78x = 158,600.91
  5. Step 5: Solve for x
    x = 158,600.91/438.78
  6. Step 6: Final answer
    x = 361.46

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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.