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Finding the Fourth Proportional to 378.20, 565.64 and 350.52

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Solution

The fourth proportional to 378.20, 565.64 and 350.52 is: 524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 565.64 = 350.52 : x
  2. Step 2: Convert to fraction form
    378.20/565.64 = 350.52/x
  3. Step 3: Cross multiply
    378.20x = 565.64 × 350.52
  4. Step 4: Simplify right side
    378.20x = 198,268.13
  5. Step 5: Solve for x
    x = 198,268.13/378.20
  6. Step 6: Final answer
    x = 524.25

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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.