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Finding the Fourth Proportional to 569.97, 854.84 and 179.90

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Solution

The fourth proportional to 569.97, 854.84 and 179.90 is: 269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.97 : 854.84 = 179.90 : x
  2. Step 2: Convert to fraction form
    569.97/854.84 = 179.90/x
  3. Step 3: Cross multiply
    569.97x = 854.84 × 179.90
  4. Step 4: Simplify right side
    569.97x = 153,785.44
  5. Step 5: Solve for x
    x = 153,785.44/569.97
  6. Step 6: Final answer
    x = 269.81

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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.