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Finding the Fourth Proportional to 569.62, 853.82 and 204.30

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Solution

The fourth proportional to 569.62, 853.82 and 204.30 is: 306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.62 : 853.82 = 204.30 : x
  2. Step 2: Convert to fraction form
    569.62/853.82 = 204.30/x
  3. Step 3: Cross multiply
    569.62x = 853.82 × 204.30
  4. Step 4: Simplify right side
    569.62x = 174,434.40
  5. Step 5: Solve for x
    x = 174,434.40/569.62
  6. Step 6: Final answer
    x = 306.23

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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.