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Finding the Fourth Proportional to 444.16, 665.76 and 363.36

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Solution

The fourth proportional to 444.16, 665.76 and 363.36 is: 544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.16 : 665.76 = 363.36 : x
  2. Step 2: Convert to fraction form
    444.16/665.76 = 363.36/x
  3. Step 3: Cross multiply
    444.16x = 665.76 × 363.36
  4. Step 4: Simplify right side
    444.16x = 241,910.55
  5. Step 5: Solve for x
    x = 241,910.55/444.16
  6. Step 6: Final answer
    x = 544.65

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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.