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Finding the Fourth Proportional to 569.23, 853.71 and 203.92

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Solution

The fourth proportional to 569.23, 853.71 and 203.92 is: 305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.23 : 853.71 = 203.92 : x
  2. Step 2: Convert to fraction form
    569.23/853.71 = 203.92/x
  3. Step 3: Cross multiply
    569.23x = 853.71 × 203.92
  4. Step 4: Simplify right side
    569.23x = 174,085.64
  5. Step 5: Solve for x
    x = 174,085.64/569.23
  6. Step 6: Final answer
    x = 305.83

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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.