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Finding the Fourth Proportional to 569.22, 853.21 and 325.23

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Solution

The fourth proportional to 569.22, 853.21 and 325.23 is: 487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.22 : 853.21 = 325.23 : x
  2. Step 2: Convert to fraction form
    569.22/853.21 = 325.23/x
  3. Step 3: Cross multiply
    569.22x = 853.21 × 325.23
  4. Step 4: Simplify right side
    569.22x = 277,489.49
  5. Step 5: Solve for x
    x = 277,489.49/569.22
  6. Step 6: Final answer
    x = 487.49

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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.