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Finding the Fourth Proportional to 569.51, 854.28 and 204.56

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Solution

The fourth proportional to 569.51, 854.28 and 204.56 is: 306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.51 : 854.28 = 204.56 : x
  2. Step 2: Convert to fraction form
    569.51/854.28 = 204.56/x
  3. Step 3: Cross multiply
    569.51x = 854.28 × 204.56
  4. Step 4: Simplify right side
    569.51x = 174,751.52
  5. Step 5: Solve for x
    x = 174,751.52/569.51
  6. Step 6: Final answer
    x = 306.85

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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.