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Finding the Fourth Proportional to 568.20, 784 and 506.22

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Solution

The fourth proportional to 568.20, 784 and 506.22 is: 698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 784 = 506.22 : x
  2. Step 2: Convert to fraction form
    568.20/784 = 506.22/x
  3. Step 3: Cross multiply
    568.20x = 784 × 506.22
  4. Step 4: Simplify right side
    568.20x = 396,876.48
  5. Step 5: Solve for x
    x = 396,876.48/568.20
  6. Step 6: Final answer
    x = 698.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.