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Finding the Fourth Proportional to 362.87, 504.11 and 359.49

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Solution

The fourth proportional to 362.87, 504.11 and 359.49 is: 499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.87 : 504.11 = 359.49 : x
  2. Step 2: Convert to fraction form
    362.87/504.11 = 359.49/x
  3. Step 3: Cross multiply
    362.87x = 504.11 × 359.49
  4. Step 4: Simplify right side
    362.87x = 181,222.50
  5. Step 5: Solve for x
    x = 181,222.50/362.87
  6. Step 6: Final answer
    x = 499.42

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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.