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Finding the Fourth Proportional to 380.78, 567.43 and 370.23

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Solution

The fourth proportional to 380.78, 567.43 and 370.23 is: 551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.78 : 567.43 = 370.23 : x
  2. Step 2: Convert to fraction form
    380.78/567.43 = 370.23/x
  3. Step 3: Cross multiply
    380.78x = 567.43 × 370.23
  4. Step 4: Simplify right side
    380.78x = 210,079.61
  5. Step 5: Solve for x
    x = 210,079.61/380.78
  6. Step 6: Final answer
    x = 551.71

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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.