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Finding the Fourth Proportional to 569.49, 854.02 and 204.22

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Solution

The fourth proportional to 569.49, 854.02 and 204.22 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.49 : 854.02 = 204.22 : x
  2. Step 2: Convert to fraction form
    569.49/854.02 = 204.22/x
  3. Step 3: Cross multiply
    569.49x = 854.02 × 204.22
  4. Step 4: Simplify right side
    569.49x = 174,407.96
  5. Step 5: Solve for x
    x = 174,407.96/569.49
  6. Step 6: Final answer
    x = 306.25

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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.