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Finding the Fourth Proportional to 376.32, 567.60 and 363.36

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Solution

The fourth proportional to 376.32, 567.60 and 363.36 is: 548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.32 : 567.60 = 363.36 : x
  2. Step 2: Convert to fraction form
    376.32/567.60 = 363.36/x
  3. Step 3: Cross multiply
    376.32x = 567.60 × 363.36
  4. Step 4: Simplify right side
    376.32x = 206,243.14
  5. Step 5: Solve for x
    x = 206,243.14/376.32
  6. Step 6: Final answer
    x = 548.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.