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Finding the Fourth Proportional to 569.60, 854.56 and 204.44

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Solution

The fourth proportional to 569.60, 854.56 and 204.44 is: 306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.60 : 854.56 = 204.44 : x
  2. Step 2: Convert to fraction form
    569.60/854.56 = 204.44/x
  3. Step 3: Cross multiply
    569.60x = 854.56 × 204.44
  4. Step 4: Simplify right side
    569.60x = 174,706.25
  5. Step 5: Solve for x
    x = 174,706.25/569.60
  6. Step 6: Final answer
    x = 306.72

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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.