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Finding the Fourth Proportional to 444.28, 665.22 and 307.16

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Solution

The fourth proportional to 444.28, 665.22 and 307.16 is: 459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.28 : 665.22 = 307.16 : x
  2. Step 2: Convert to fraction form
    444.28/665.22 = 307.16/x
  3. Step 3: Cross multiply
    444.28x = 665.22 × 307.16
  4. Step 4: Simplify right side
    444.28x = 204,328.98
  5. Step 5: Solve for x
    x = 204,328.98/444.28
  6. Step 6: Final answer
    x = 459.91

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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.