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Finding the Fourth Proportional to 363.02, 541.34 and 359.73

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Solution

The fourth proportional to 363.02, 541.34 and 359.73 is: 536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.02 : 541.34 = 359.73 : x
  2. Step 2: Convert to fraction form
    363.02/541.34 = 359.73/x
  3. Step 3: Cross multiply
    363.02x = 541.34 × 359.73
  4. Step 4: Simplify right side
    363.02x = 194,731.73
  5. Step 5: Solve for x
    x = 194,731.73/363.02
  6. Step 6: Final answer
    x = 536.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.