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Finding the Fourth Proportional to 569.20, 853.86 and 204.02

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Solution

The fourth proportional to 569.20, 853.86 and 204.02 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.20 : 853.86 = 204.02 : x
  2. Step 2: Convert to fraction form
    569.20/853.86 = 204.02/x
  3. Step 3: Cross multiply
    569.20x = 853.86 × 204.02
  4. Step 4: Simplify right side
    569.20x = 174,204.52
  5. Step 5: Solve for x
    x = 174,204.52/569.20
  6. Step 6: Final answer
    x = 306.05

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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.