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Finding the Fourth Proportional to 370.42, 511.03 and 323.80

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Solution

The fourth proportional to 370.42, 511.03 and 323.80 is: 446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 511.03 = 323.80 : x
  2. Step 2: Convert to fraction form
    370.42/511.03 = 323.80/x
  3. Step 3: Cross multiply
    370.42x = 511.03 × 323.80
  4. Step 4: Simplify right side
    370.42x = 165,471.55
  5. Step 5: Solve for x
    x = 165,471.55/370.42
  6. Step 6: Final answer
    x = 446.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.