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Finding the Fourth Proportional to 378.14, 565.99 and 297.14

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Solution

The fourth proportional to 378.14, 565.99 and 297.14 is: 444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.14 : 565.99 = 297.14 : x
  2. Step 2: Convert to fraction form
    378.14/565.99 = 297.14/x
  3. Step 3: Cross multiply
    378.14x = 565.99 × 297.14
  4. Step 4: Simplify right side
    378.14x = 168,174.70
  5. Step 5: Solve for x
    x = 168,174.70/378.14
  6. Step 6: Final answer
    x = 444.75

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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.