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Finding the Fourth Proportional to 605.08, 909.22 and 566.20

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Solution

The fourth proportional to 605.08, 909.22 and 566.20 is: 850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.08 : 909.22 = 566.20 : x
  2. Step 2: Convert to fraction form
    605.08/909.22 = 566.20/x
  3. Step 3: Cross multiply
    605.08x = 909.22 × 566.20
  4. Step 4: Simplify right side
    605.08x = 514,800.36
  5. Step 5: Solve for x
    x = 514,800.36/605.08
  6. Step 6: Final answer
    x = 850.80

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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.