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Finding the Fourth Proportional to 569.87, 854.51 and 179.91

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Solution

The fourth proportional to 569.87, 854.51 and 179.91 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.87 : 854.51 = 179.91 : x
  2. Step 2: Convert to fraction form
    569.87/854.51 = 179.91/x
  3. Step 3: Cross multiply
    569.87x = 854.51 × 179.91
  4. Step 4: Simplify right side
    569.87x = 153,733.99
  5. Step 5: Solve for x
    x = 153,733.99/569.87
  6. Step 6: Final answer
    x = 269.77

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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.