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Finding the Fourth Proportional to 438.41, 605.13 and 261.50

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Solution

The fourth proportional to 438.41, 605.13 and 261.50 is: 360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.41 : 605.13 = 261.50 : x
  2. Step 2: Convert to fraction form
    438.41/605.13 = 261.50/x
  3. Step 3: Cross multiply
    438.41x = 605.13 × 261.50
  4. Step 4: Simplify right side
    438.41x = 158,238.47
  5. Step 5: Solve for x
    x = 158,238.47/438.41
  6. Step 6: Final answer
    x = 360.94

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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.