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Finding the Fourth Proportional to 378.30, 567.45 and 344.70

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Solution

The fourth proportional to 378.30, 567.45 and 344.70 is: 517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.30 : 567.45 = 344.70 : x
  2. Step 2: Convert to fraction form
    378.30/567.45 = 344.70/x
  3. Step 3: Cross multiply
    378.30x = 567.45 × 344.70
  4. Step 4: Simplify right side
    378.30x = 195,600.02
  5. Step 5: Solve for x
    x = 195,600.02/378.30
  6. Step 6: Final answer
    x = 517.05

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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.