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Finding the Fourth Proportional to 444.72, 609.84 and 400.92

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Solution

The fourth proportional to 444.72, 609.84 and 400.92 is: 549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.72 : 609.84 = 400.92 : x
  2. Step 2: Convert to fraction form
    444.72/609.84 = 400.92/x
  3. Step 3: Cross multiply
    444.72x = 609.84 × 400.92
  4. Step 4: Simplify right side
    444.72x = 244,497.05
  5. Step 5: Solve for x
    x = 244,497.05/444.72
  6. Step 6: Final answer
    x = 549.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.