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Finding the Fourth Proportional to 573.20, 857.76 and 450.62

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Solution

The fourth proportional to 573.20, 857.76 and 450.62 is: 674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.20 : 857.76 = 450.62 : x
  2. Step 2: Convert to fraction form
    573.20/857.76 = 450.62/x
  3. Step 3: Cross multiply
    573.20x = 857.76 × 450.62
  4. Step 4: Simplify right side
    573.20x = 386,523.81
  5. Step 5: Solve for x
    x = 386,523.81/573.20
  6. Step 6: Final answer
    x = 674.33

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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.