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Finding the Fourth Proportional to 362.93, 504.20 and 359.55

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Solution

The fourth proportional to 362.93, 504.20 and 359.55 is: 499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.93 : 504.20 = 359.55 : x
  2. Step 2: Convert to fraction form
    362.93/504.20 = 359.55/x
  3. Step 3: Cross multiply
    362.93x = 504.20 × 359.55
  4. Step 4: Simplify right side
    362.93x = 181,286.01
  5. Step 5: Solve for x
    x = 181,286.01/362.93
  6. Step 6: Final answer
    x = 499.51

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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.