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Finding the Fourth Proportional to 383.45, 529.28 and 363.86

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Solution

The fourth proportional to 383.45, 529.28 and 363.86 is: 502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.45 : 529.28 = 363.86 : x
  2. Step 2: Convert to fraction form
    383.45/529.28 = 363.86/x
  3. Step 3: Cross multiply
    383.45x = 529.28 × 363.86
  4. Step 4: Simplify right side
    383.45x = 192,581.17
  5. Step 5: Solve for x
    x = 192,581.17/383.45
  6. Step 6: Final answer
    x = 502.23

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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.