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Finding the Fourth Proportional to 523.50, 721.90 and 453.54

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Solution

The fourth proportional to 523.50, 721.90 and 453.54 is: 625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 721.90 = 453.54 : x
  2. Step 2: Convert to fraction form
    523.50/721.90 = 453.54/x
  3. Step 3: Cross multiply
    523.50x = 721.90 × 453.54
  4. Step 4: Simplify right side
    523.50x = 327,410.53
  5. Step 5: Solve for x
    x = 327,410.53/523.50
  6. Step 6: Final answer
    x = 625.43

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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.