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Finding the Fourth Proportional to 569.82, 854.36 and 199.54

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Solution

The fourth proportional to 569.82, 854.36 and 199.54 is: 299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.82 : 854.36 = 199.54 : x
  2. Step 2: Convert to fraction form
    569.82/854.36 = 199.54/x
  3. Step 3: Cross multiply
    569.82x = 854.36 × 199.54
  4. Step 4: Simplify right side
    569.82x = 170,478.99
  5. Step 5: Solve for x
    x = 170,478.99/569.82
  6. Step 6: Final answer
    x = 299.18

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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.