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Finding the Fourth Proportional to 538.80, 807.20 and 333.52

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Solution

The fourth proportional to 538.80, 807.20 and 333.52 is: 499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.80 : 807.20 = 333.52 : x
  2. Step 2: Convert to fraction form
    538.80/807.20 = 333.52/x
  3. Step 3: Cross multiply
    538.80x = 807.20 × 333.52
  4. Step 4: Simplify right side
    538.80x = 269,217.34
  5. Step 5: Solve for x
    x = 269,217.34/538.80
  6. Step 6: Final answer
    x = 499.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.