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Finding the Fourth Proportional to 378.31, 567.66 and 377.14

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Solution

The fourth proportional to 378.31, 567.66 and 377.14 is: 565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.31 : 567.66 = 377.14 : x
  2. Step 2: Convert to fraction form
    378.31/567.66 = 377.14/x
  3. Step 3: Cross multiply
    378.31x = 567.66 × 377.14
  4. Step 4: Simplify right side
    378.31x = 214,087.29
  5. Step 5: Solve for x
    x = 214,087.29/378.31
  6. Step 6: Final answer
    x = 565.90

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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.