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Finding the Fourth Proportional to 500.21, 748.49 and 323.90

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Solution

The fourth proportional to 500.21, 748.49 and 323.90 is: 484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.21 : 748.49 = 323.90 : x
  2. Step 2: Convert to fraction form
    500.21/748.49 = 323.90/x
  3. Step 3: Cross multiply
    500.21x = 748.49 × 323.90
  4. Step 4: Simplify right side
    500.21x = 242,430.55
  5. Step 5: Solve for x
    x = 242,430.55/500.21
  6. Step 6: Final answer
    x = 484.66

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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.