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Finding the Fourth Proportional to 569.31, 853.96 and 325.66

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Solution

The fourth proportional to 569.31, 853.96 and 325.66 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.31 : 853.96 = 325.66 : x
  2. Step 2: Convert to fraction form
    569.31/853.96 = 325.66/x
  3. Step 3: Cross multiply
    569.31x = 853.96 × 325.66
  4. Step 4: Simplify right side
    569.31x = 278,099.88
  5. Step 5: Solve for x
    x = 278,099.88/569.31
  6. Step 6: Final answer
    x = 488.49

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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.