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Finding the Fourth Proportional to 378.14, 567.81 and 342.90

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Solution

The fourth proportional to 378.14, 567.81 and 342.90 is: 514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.14 : 567.81 = 342.90 : x
  2. Step 2: Convert to fraction form
    378.14/567.81 = 342.90/x
  3. Step 3: Cross multiply
    378.14x = 567.81 × 342.90
  4. Step 4: Simplify right side
    378.14x = 194,702.05
  5. Step 5: Solve for x
    x = 194,702.05/378.14
  6. Step 6: Final answer
    x = 514.90

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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.