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Finding the Fourth Proportional to 569.68, 854.60 and 204.44

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Solution

The fourth proportional to 569.68, 854.60 and 204.44 is: 306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.68 : 854.60 = 204.44 : x
  2. Step 2: Convert to fraction form
    569.68/854.60 = 204.44/x
  3. Step 3: Cross multiply
    569.68x = 854.60 × 204.44
  4. Step 4: Simplify right side
    569.68x = 174,709.13
  5. Step 5: Solve for x
    x = 174,709.13/569.68
  6. Step 6: Final answer
    x = 306.68

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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.