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Finding the Fourth Proportional to 568.80, 851.92 and 556.64

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Solution

The fourth proportional to 568.80, 851.92 and 556.64 is: 833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.80 : 851.92 = 556.64 : x
  2. Step 2: Convert to fraction form
    568.80/851.92 = 556.64/x
  3. Step 3: Cross multiply
    568.80x = 851.92 × 556.64
  4. Step 4: Simplify right side
    568.80x = 474,212.75
  5. Step 5: Solve for x
    x = 474,212.75/568.80
  6. Step 6: Final answer
    x = 833.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.