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Finding the Fourth Proportional to 383.27, 531.33 and 362.48

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Solution

The fourth proportional to 383.27, 531.33 and 362.48 is: 502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.27 : 531.33 = 362.48 : x
  2. Step 2: Convert to fraction form
    383.27/531.33 = 362.48/x
  3. Step 3: Cross multiply
    383.27x = 531.33 × 362.48
  4. Step 4: Simplify right side
    383.27x = 192,597.83
  5. Step 5: Solve for x
    x = 192,597.83/383.27
  6. Step 6: Final answer
    x = 502.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.