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Finding the Fourth Proportional to 569.36, 854.38 and 204.24

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Solution

The fourth proportional to 569.36, 854.38 and 204.24 is: 306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.36 : 854.38 = 204.24 : x
  2. Step 2: Convert to fraction form
    569.36/854.38 = 204.24/x
  3. Step 3: Cross multiply
    569.36x = 854.38 × 204.24
  4. Step 4: Simplify right side
    569.36x = 174,498.57
  5. Step 5: Solve for x
    x = 174,498.57/569.36
  6. Step 6: Final answer
    x = 306.48

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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.