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Finding the Fourth Proportional to 569.11, 853.67 and 204.00

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Solution

The fourth proportional to 569.11, 853.67 and 204.00 is: 306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 853.67 = 204.00 : x
  2. Step 2: Convert to fraction form
    569.11/853.67 = 204.00/x
  3. Step 3: Cross multiply
    569.11x = 853.67 × 204.00
  4. Step 4: Simplify right side
    569.11x = 174,149.79
  5. Step 5: Solve for x
    x = 174,149.79/569.11
  6. Step 6: Final answer
    x = 306.00

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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.