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Finding the Fourth Proportional to 568.52, 851.72 and 453.09

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Solution

The fourth proportional to 568.52, 851.72 and 453.09 is: 678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.52 : 851.72 = 453.09 : x
  2. Step 2: Convert to fraction form
    568.52/851.72 = 453.09/x
  3. Step 3: Cross multiply
    568.52x = 851.72 × 453.09
  4. Step 4: Simplify right side
    568.52x = 385,906.74
  5. Step 5: Solve for x
    x = 385,906.74/568.52
  6. Step 6: Final answer
    x = 678.79

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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.