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Finding the Fourth Proportional to 444.72, 666.12 and 252.24

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Solution

The fourth proportional to 444.72, 666.12 and 252.24 is: 377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.72 : 666.12 = 252.24 : x
  2. Step 2: Convert to fraction form
    444.72/666.12 = 252.24/x
  3. Step 3: Cross multiply
    444.72x = 666.12 × 252.24
  4. Step 4: Simplify right side
    444.72x = 168,022.11
  5. Step 5: Solve for x
    x = 168,022.11/444.72
  6. Step 6: Final answer
    x = 377.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.