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Finding the Fourth Proportional to 376.40, 563.82 and 365.46

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Solution

The fourth proportional to 376.40, 563.82 and 365.46 is: 547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.40 : 563.82 = 365.46 : x
  2. Step 2: Convert to fraction form
    376.40/563.82 = 365.46/x
  3. Step 3: Cross multiply
    376.40x = 563.82 × 365.46
  4. Step 4: Simplify right side
    376.40x = 206,053.66
  5. Step 5: Solve for x
    x = 206,053.66/376.40
  6. Step 6: Final answer
    x = 547.44

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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.