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Finding the Fourth Proportional to 568.63, 847.96 and 563.44

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Solution

The fourth proportional to 568.63, 847.96 and 563.44 is: 840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.63 : 847.96 = 563.44 : x
  2. Step 2: Convert to fraction form
    568.63/847.96 = 563.44/x
  3. Step 3: Cross multiply
    568.63x = 847.96 × 563.44
  4. Step 4: Simplify right side
    568.63x = 477,770.34
  5. Step 5: Solve for x
    x = 477,770.34/568.63
  6. Step 6: Final answer
    x = 840.22

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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.