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Finding the Fourth Proportional to 569.24, 853.86 and 204.13

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Solution

The fourth proportional to 569.24, 853.86 and 204.13 is: 306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.24 : 853.86 = 204.13 : x
  2. Step 2: Convert to fraction form
    569.24/853.86 = 204.13/x
  3. Step 3: Cross multiply
    569.24x = 853.86 × 204.13
  4. Step 4: Simplify right side
    569.24x = 174,297.42
  5. Step 5: Solve for x
    x = 174,297.42/569.24
  6. Step 6: Final answer
    x = 306.20

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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.