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Finding the Fourth Proportional to 574.45, 793.92 and 434.53

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Solution

The fourth proportional to 574.45, 793.92 and 434.53 is: 600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.45 : 793.92 = 434.53 : x
  2. Step 2: Convert to fraction form
    574.45/793.92 = 434.53/x
  3. Step 3: Cross multiply
    574.45x = 793.92 × 434.53
  4. Step 4: Simplify right side
    574.45x = 344,982.06
  5. Step 5: Solve for x
    x = 344,982.06/574.45
  6. Step 6: Final answer
    x = 600.54

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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.