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Finding the Fourth Proportional to 569.16, 853.81 and 203.99

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Solution

The fourth proportional to 569.16, 853.81 and 203.99 is: 306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 853.81 = 203.99 : x
  2. Step 2: Convert to fraction form
    569.16/853.81 = 203.99/x
  3. Step 3: Cross multiply
    569.16x = 853.81 × 203.99
  4. Step 4: Simplify right side
    569.16x = 174,163.92
  5. Step 5: Solve for x
    x = 174,163.92/569.16
  6. Step 6: Final answer
    x = 306.00

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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.