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Finding the Fourth Proportional to 362.04, 500.22 and 299.76

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Solution

The fourth proportional to 362.04, 500.22 and 299.76 is: 414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.04 : 500.22 = 299.76 : x
  2. Step 2: Convert to fraction form
    362.04/500.22 = 299.76/x
  3. Step 3: Cross multiply
    362.04x = 500.22 × 299.76
  4. Step 4: Simplify right side
    362.04x = 149,945.95
  5. Step 5: Solve for x
    x = 149,945.95/362.04
  6. Step 6: Final answer
    x = 414.17

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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.