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Finding the Fourth Proportional to 569.33, 853.44 and 325.38

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Solution

The fourth proportional to 569.33, 853.44 and 325.38 is: 487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.33 : 853.44 = 325.38 : x
  2. Step 2: Convert to fraction form
    569.33/853.44 = 325.38/x
  3. Step 3: Cross multiply
    569.33x = 853.44 × 325.38
  4. Step 4: Simplify right side
    569.33x = 277,692.31
  5. Step 5: Solve for x
    x = 277,692.31/569.33
  6. Step 6: Final answer
    x = 487.75

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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.