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Finding the Fourth Proportional to 538.24, 807.33 and 296.28

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Solution

The fourth proportional to 538.24, 807.33 and 296.28 is: 444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 807.33 = 296.28 : x
  2. Step 2: Convert to fraction form
    538.24/807.33 = 296.28/x
  3. Step 3: Cross multiply
    538.24x = 807.33 × 296.28
  4. Step 4: Simplify right side
    538.24x = 239,195.73
  5. Step 5: Solve for x
    x = 239,195.73/538.24
  6. Step 6: Final answer
    x = 444.41

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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.