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Finding the Fourth Proportional to 568.36, 853.74 and 424.96

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Solution

The fourth proportional to 568.36, 853.74 and 424.96 is: 638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.36 : 853.74 = 424.96 : x
  2. Step 2: Convert to fraction form
    568.36/853.74 = 424.96/x
  3. Step 3: Cross multiply
    568.36x = 853.74 × 424.96
  4. Step 4: Simplify right side
    568.36x = 362,805.35
  5. Step 5: Solve for x
    x = 362,805.35/568.36
  6. Step 6: Final answer
    x = 638.34

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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.