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Finding the Fourth Proportional to 569.39, 854.51 and 204.21

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Solution

The fourth proportional to 569.39, 854.51 and 204.21 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 854.51 = 204.21 : x
  2. Step 2: Convert to fraction form
    569.39/854.51 = 204.21/x
  3. Step 3: Cross multiply
    569.39x = 854.51 × 204.21
  4. Step 4: Simplify right side
    569.39x = 174,498.47
  5. Step 5: Solve for x
    x = 174,498.47/569.39
  6. Step 6: Final answer
    x = 306.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.