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Finding the Fourth Proportional to 520.67, 719.49 and 450.20

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Solution

The fourth proportional to 520.67, 719.49 and 450.20 is: 622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.67 : 719.49 = 450.20 : x
  2. Step 2: Convert to fraction form
    520.67/719.49 = 450.20/x
  3. Step 3: Cross multiply
    520.67x = 719.49 × 450.20
  4. Step 4: Simplify right side
    520.67x = 323,910.80
  5. Step 5: Solve for x
    x = 323,910.80/520.67
  6. Step 6: Final answer
    x = 622.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.