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Finding the Fourth Proportional to 577.80, 866.46 and 361.40

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Solution

The fourth proportional to 577.80, 866.46 and 361.40 is: 541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 866.46 = 361.40 : x
  2. Step 2: Convert to fraction form
    577.80/866.46 = 361.40/x
  3. Step 3: Cross multiply
    577.80x = 866.46 × 361.40
  4. Step 4: Simplify right side
    577.80x = 313,138.64
  5. Step 5: Solve for x
    x = 313,138.64/577.80
  6. Step 6: Final answer
    x = 541.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.