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Finding the Fourth Proportional to 569.52, 854.36 and 204.24

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Solution

The fourth proportional to 569.52, 854.36 and 204.24 is: 306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 854.36 = 204.24 : x
  2. Step 2: Convert to fraction form
    569.52/854.36 = 204.24/x
  3. Step 3: Cross multiply
    569.52x = 854.36 × 204.24
  4. Step 4: Simplify right side
    569.52x = 174,494.49
  5. Step 5: Solve for x
    x = 174,494.49/569.52
  6. Step 6: Final answer
    x = 306.39

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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.