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Finding the Fourth Proportional to 569.01, 853.43 and 184.26

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Solution

The fourth proportional to 569.01, 853.43 and 184.26 is: 276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.01 : 853.43 = 184.26 : x
  2. Step 2: Convert to fraction form
    569.01/853.43 = 184.26/x
  3. Step 3: Cross multiply
    569.01x = 853.43 × 184.26
  4. Step 4: Simplify right side
    569.01x = 157,255.29
  5. Step 5: Solve for x
    x = 157,255.29/569.01
  6. Step 6: Final answer
    x = 276.36

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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.