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Finding the Fourth Proportional to 568.98, 853.63 and 203.81

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Solution

The fourth proportional to 568.98, 853.63 and 203.81 is: 305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.98 : 853.63 = 203.81 : x
  2. Step 2: Convert to fraction form
    568.98/853.63 = 203.81/x
  3. Step 3: Cross multiply
    568.98x = 853.63 × 203.81
  4. Step 4: Simplify right side
    568.98x = 173,973.55
  5. Step 5: Solve for x
    x = 173,973.55/568.98
  6. Step 6: Final answer
    x = 305.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.