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Finding the Fourth Proportional to 443.28, 665.33 and 340.23

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Solution

The fourth proportional to 443.28, 665.33 and 340.23 is: 510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.28 : 665.33 = 340.23 : x
  2. Step 2: Convert to fraction form
    443.28/665.33 = 340.23/x
  3. Step 3: Cross multiply
    443.28x = 665.33 × 340.23
  4. Step 4: Simplify right side
    443.28x = 226,367.93
  5. Step 5: Solve for x
    x = 226,367.93/443.28
  6. Step 6: Final answer
    x = 510.66

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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.