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Finding the Fourth Proportional to 444.69, 614.12 and 378.81

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Solution

The fourth proportional to 444.69, 614.12 and 378.81 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.69 : 614.12 = 378.81 : x
  2. Step 2: Convert to fraction form
    444.69/614.12 = 378.81/x
  3. Step 3: Cross multiply
    444.69x = 614.12 × 378.81
  4. Step 4: Simplify right side
    444.69x = 232,632.90
  5. Step 5: Solve for x
    x = 232,632.90/444.69
  6. Step 6: Final answer
    x = 523.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.