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Finding the Fourth Proportional to 438.77, 605.57 and 261.74

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Solution

The fourth proportional to 438.77, 605.57 and 261.74 is: 361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.77 : 605.57 = 261.74 : x
  2. Step 2: Convert to fraction form
    438.77/605.57 = 261.74/x
  3. Step 3: Cross multiply
    438.77x = 605.57 × 261.74
  4. Step 4: Simplify right side
    438.77x = 158,497.56
  5. Step 5: Solve for x
    x = 158,497.56/438.77
  6. Step 6: Final answer
    x = 361.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.