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Finding the Fourth Proportional to 569.89, 854.67 and 199.69

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Solution

The fourth proportional to 569.89, 854.67 and 199.69 is: 299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.89 : 854.67 = 199.69 : x
  2. Step 2: Convert to fraction form
    569.89/854.67 = 199.69/x
  3. Step 3: Cross multiply
    569.89x = 854.67 × 199.69
  4. Step 4: Simplify right side
    569.89x = 170,669.05
  5. Step 5: Solve for x
    x = 170,669.05/569.89
  6. Step 6: Final answer
    x = 299.48

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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.