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Finding the Fourth Proportional to 444.90, 665.71 and 269.30

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Solution

The fourth proportional to 444.90, 665.71 and 269.30 is: 402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.90 : 665.71 = 269.30 : x
  2. Step 2: Convert to fraction form
    444.90/665.71 = 269.30/x
  3. Step 3: Cross multiply
    444.90x = 665.71 × 269.30
  4. Step 4: Simplify right side
    444.90x = 179,276.69
  5. Step 5: Solve for x
    x = 179,276.69/444.90
  6. Step 6: Final answer
    x = 402.96

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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.