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Finding the Fourth Proportional to 569.75, 855.23 and 295.77

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Solution

The fourth proportional to 569.75, 855.23 and 295.77 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 855.23 = 295.77 : x
  2. Step 2: Convert to fraction form
    569.75/855.23 = 295.77/x
  3. Step 3: Cross multiply
    569.75x = 855.23 × 295.77
  4. Step 4: Simplify right side
    569.75x = 252,951.38
  5. Step 5: Solve for x
    x = 252,951.38/569.75
  6. Step 6: Final answer
    x = 443.97

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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.