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Finding the Fourth Proportional to 380.90, 570.44 and 361.77

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Solution

The fourth proportional to 380.90, 570.44 and 361.77 is: 541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.90 : 570.44 = 361.77 : x
  2. Step 2: Convert to fraction form
    380.90/570.44 = 361.77/x
  3. Step 3: Cross multiply
    380.90x = 570.44 × 361.77
  4. Step 4: Simplify right side
    380.90x = 206,366.84
  5. Step 5: Solve for x
    x = 206,366.84/380.90
  6. Step 6: Final answer
    x = 541.78

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Why These Related Problems?

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