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Finding the Fourth Proportional to 363.31, 499.50 and 296.08

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Solution

The fourth proportional to 363.31, 499.50 and 296.08 is: 407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.31 : 499.50 = 296.08 : x
  2. Step 2: Convert to fraction form
    363.31/499.50 = 296.08/x
  3. Step 3: Cross multiply
    363.31x = 499.50 × 296.08
  4. Step 4: Simplify right side
    363.31x = 147,891.96
  5. Step 5: Solve for x
    x = 147,891.96/363.31
  6. Step 6: Final answer
    x = 407.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.