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Finding the Fourth Proportional to 568.24, 851.56 and 446.74

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Solution

The fourth proportional to 568.24, 851.56 and 446.74 is: 669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.24 : 851.56 = 446.74 : x
  2. Step 2: Convert to fraction form
    568.24/851.56 = 446.74/x
  3. Step 3: Cross multiply
    568.24x = 851.56 × 446.74
  4. Step 4: Simplify right side
    568.24x = 380,425.91
  5. Step 5: Solve for x
    x = 380,425.91/568.24
  6. Step 6: Final answer
    x = 669.48

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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.