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Finding the Fourth Proportional to 363.03, 500.63 and 264.62

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Solution

The fourth proportional to 363.03, 500.63 and 264.62 is: 364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.03 : 500.63 = 264.62 : x
  2. Step 2: Convert to fraction form
    363.03/500.63 = 264.62/x
  3. Step 3: Cross multiply
    363.03x = 500.63 × 264.62
  4. Step 4: Simplify right side
    363.03x = 132,472.88
  5. Step 5: Solve for x
    x = 132,472.88/363.03
  6. Step 6: Final answer
    x = 364.91

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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.