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Finding the Fourth Proportional to 500.28, 745.22 and 472.92

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Solution

The fourth proportional to 500.28, 745.22 and 472.92 is: 704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 745.22 = 472.92 : x
  2. Step 2: Convert to fraction form
    500.28/745.22 = 472.92/x
  3. Step 3: Cross multiply
    500.28x = 745.22 × 472.92
  4. Step 4: Simplify right side
    500.28x = 352,429.44
  5. Step 5: Solve for x
    x = 352,429.44/500.28
  6. Step 6: Final answer
    x = 704.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.