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Finding the Fourth Proportional to 378.09, 565.07 and 274.68

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Solution

The fourth proportional to 378.09, 565.07 and 274.68 is: 410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 565.07 = 274.68 : x
  2. Step 2: Convert to fraction form
    378.09/565.07 = 274.68/x
  3. Step 3: Cross multiply
    378.09x = 565.07 × 274.68
  4. Step 4: Simplify right side
    378.09x = 155,212.05
  5. Step 5: Solve for x
    x = 155,212.05/378.09
  6. Step 6: Final answer
    x = 410.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.