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Finding the Fourth Proportional to 569.27, 853.24 and 276.92

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Solution

The fourth proportional to 569.27, 853.24 and 276.92 is: 415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.27 : 853.24 = 276.92 : x
  2. Step 2: Convert to fraction form
    569.27/853.24 = 276.92/x
  3. Step 3: Cross multiply
    569.27x = 853.24 × 276.92
  4. Step 4: Simplify right side
    569.27x = 236,279.22
  5. Step 5: Solve for x
    x = 236,279.22/569.27
  6. Step 6: Final answer
    x = 415.06

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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.