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Finding the Fourth Proportional to 568.35, 852.66 and 203.19

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Solution

The fourth proportional to 568.35, 852.66 and 203.19 is: 304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.35 : 852.66 = 203.19 : x
  2. Step 2: Convert to fraction form
    568.35/852.66 = 203.19/x
  3. Step 3: Cross multiply
    568.35x = 852.66 × 203.19
  4. Step 4: Simplify right side
    568.35x = 173,251.99
  5. Step 5: Solve for x
    x = 173,251.99/568.35
  6. Step 6: Final answer
    x = 304.83

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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.