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Finding the Fourth Proportional to 569.61, 853.27 and 261.03

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Solution

The fourth proportional to 569.61, 853.27 and 261.03 is: 391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.61 : 853.27 = 261.03 : x
  2. Step 2: Convert to fraction form
    569.61/853.27 = 261.03/x
  3. Step 3: Cross multiply
    569.61x = 853.27 × 261.03
  4. Step 4: Simplify right side
    569.61x = 222,731.62
  5. Step 5: Solve for x
    x = 222,731.62/569.61
  6. Step 6: Final answer
    x = 391.02

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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.