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Finding the Fourth Proportional to 568.27, 847.98 and 506.98

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Solution

The fourth proportional to 568.27, 847.98 and 506.98 is: 756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.27 : 847.98 = 506.98 : x
  2. Step 2: Convert to fraction form
    568.27/847.98 = 506.98/x
  3. Step 3: Cross multiply
    568.27x = 847.98 × 506.98
  4. Step 4: Simplify right side
    568.27x = 429,906.37
  5. Step 5: Solve for x
    x = 429,906.37/568.27
  6. Step 6: Final answer
    x = 756.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.