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Finding the Fourth Proportional to 569.45, 854.27 and 199.31

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Solution

The fourth proportional to 569.45, 854.27 and 199.31 is: 299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.45 : 854.27 = 199.31 : x
  2. Step 2: Convert to fraction form
    569.45/854.27 = 199.31/x
  3. Step 3: Cross multiply
    569.45x = 854.27 × 199.31
  4. Step 4: Simplify right side
    569.45x = 170,265.40
  5. Step 5: Solve for x
    x = 170,265.40/569.45
  6. Step 6: Final answer
    x = 299.00

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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.