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Finding the Fourth Proportional to 444.24, 667.08 and 383.76

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Solution

The fourth proportional to 444.24, 667.08 and 383.76 is: 576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.24 : 667.08 = 383.76 : x
  2. Step 2: Convert to fraction form
    444.24/667.08 = 383.76/x
  3. Step 3: Cross multiply
    444.24x = 667.08 × 383.76
  4. Step 4: Simplify right side
    444.24x = 255,998.62
  5. Step 5: Solve for x
    x = 255,998.62/444.24
  6. Step 6: Final answer
    x = 576.26

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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.