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Finding the Fourth Proportional to 569.76, 853.96 and 261.31

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Solution

The fourth proportional to 569.76, 853.96 and 261.31 is: 391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 853.96 = 261.31 : x
  2. Step 2: Convert to fraction form
    569.76/853.96 = 261.31/x
  3. Step 3: Cross multiply
    569.76x = 853.96 × 261.31
  4. Step 4: Simplify right side
    569.76x = 223,148.29
  5. Step 5: Solve for x
    x = 223,148.29/569.76
  6. Step 6: Final answer
    x = 391.65

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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.