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Finding the Fourth Proportional to 378.80, 561.20 and 364.40

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Solution

The fourth proportional to 378.80, 561.20 and 364.40 is: 539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.80 : 561.20 = 364.40 : x
  2. Step 2: Convert to fraction form
    378.80/561.20 = 364.40/x
  3. Step 3: Cross multiply
    378.80x = 561.20 × 364.40
  4. Step 4: Simplify right side
    378.80x = 204,501.28
  5. Step 5: Solve for x
    x = 204,501.28/378.80
  6. Step 6: Final answer
    x = 539.87

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.