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Finding the Fourth Proportional to 568.67, 853.11 and 203.36

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Solution

The fourth proportional to 568.67, 853.11 and 203.36 is: 305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.67 : 853.11 = 203.36 : x
  2. Step 2: Convert to fraction form
    568.67/853.11 = 203.36/x
  3. Step 3: Cross multiply
    568.67x = 853.11 × 203.36
  4. Step 4: Simplify right side
    568.67x = 173,484.18
  5. Step 5: Solve for x
    x = 173,484.18/568.67
  6. Step 6: Final answer
    x = 305.07

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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.