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Finding the Fourth Proportional to 569.75, 854.72 and 199.62

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Solution

The fourth proportional to 569.75, 854.72 and 199.62 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 854.72 = 199.62 : x
  2. Step 2: Convert to fraction form
    569.75/854.72 = 199.62/x
  3. Step 3: Cross multiply
    569.75x = 854.72 × 199.62
  4. Step 4: Simplify right side
    569.75x = 170,618.21
  5. Step 5: Solve for x
    x = 170,618.21/569.75
  6. Step 6: Final answer
    x = 299.46

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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.