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Finding the Fourth Proportional to 362.03, 499.02 and 296.42

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Solution

The fourth proportional to 362.03, 499.02 and 296.42 is: 408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.03 : 499.02 = 296.42 : x
  2. Step 2: Convert to fraction form
    362.03/499.02 = 296.42/x
  3. Step 3: Cross multiply
    362.03x = 499.02 × 296.42
  4. Step 4: Simplify right side
    362.03x = 147,917.01
  5. Step 5: Solve for x
    x = 147,917.01/362.03
  6. Step 6: Final answer
    x = 408.58

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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.