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Finding the Fourth Proportional to 438.69, 605.25 and 261.60

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Solution

The fourth proportional to 438.69, 605.25 and 261.60 is: 360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.69 : 605.25 = 261.60 : x
  2. Step 2: Convert to fraction form
    438.69/605.25 = 261.60/x
  3. Step 3: Cross multiply
    438.69x = 605.25 × 261.60
  4. Step 4: Simplify right side
    438.69x = 158,333.40
  5. Step 5: Solve for x
    x = 158,333.40/438.69
  6. Step 6: Final answer
    x = 360.92

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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.