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Finding the Fourth Proportional to 569.14, 853.85 and 325.83

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Solution

The fourth proportional to 569.14, 853.85 and 325.83 is: 488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.14 : 853.85 = 325.83 : x
  2. Step 2: Convert to fraction form
    569.14/853.85 = 325.83/x
  3. Step 3: Cross multiply
    569.14x = 853.85 × 325.83
  4. Step 4: Simplify right side
    569.14x = 278,204.05
  5. Step 5: Solve for x
    x = 278,204.05/569.14
  6. Step 6: Final answer
    x = 488.81

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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.