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Finding the Fourth Proportional to 569.67, 854.90 and 204.49

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Solution

The fourth proportional to 569.67, 854.90 and 204.49 is: 306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.67 : 854.90 = 204.49 : x
  2. Step 2: Convert to fraction form
    569.67/854.90 = 204.49/x
  3. Step 3: Cross multiply
    569.67x = 854.90 × 204.49
  4. Step 4: Simplify right side
    569.67x = 174,818.50
  5. Step 5: Solve for x
    x = 174,818.50/569.67
  6. Step 6: Final answer
    x = 306.88

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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.