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Finding the Fourth Proportional to 444.72, 665.46 and 433.92

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Solution

The fourth proportional to 444.72, 665.46 and 433.92 is: 649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.72 : 665.46 = 433.92 : x
  2. Step 2: Convert to fraction form
    444.72/665.46 = 433.92/x
  3. Step 3: Cross multiply
    444.72x = 665.46 × 433.92
  4. Step 4: Simplify right side
    444.72x = 288,756.40
  5. Step 5: Solve for x
    x = 288,756.40/444.72
  6. Step 6: Final answer
    x = 649.30

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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.