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Finding the Fourth Proportional to 380.16, 567.18 and 361.80

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Solution

The fourth proportional to 380.16, 567.18 and 361.80 is: 539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 567.18 = 361.80 : x
  2. Step 2: Convert to fraction form
    380.16/567.18 = 361.80/x
  3. Step 3: Cross multiply
    380.16x = 567.18 × 361.80
  4. Step 4: Simplify right side
    380.16x = 205,205.72
  5. Step 5: Solve for x
    x = 205,205.72/380.16
  6. Step 6: Final answer
    x = 539.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.