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Finding the Fourth Proportional to 568.41, 853.52 and 466.35

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Solution

The fourth proportional to 568.41, 853.52 and 466.35 is: 700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.41 : 853.52 = 466.35 : x
  2. Step 2: Convert to fraction form
    568.41/853.52 = 466.35/x
  3. Step 3: Cross multiply
    568.41x = 853.52 × 466.35
  4. Step 4: Simplify right side
    568.41x = 398,039.05
  5. Step 5: Solve for x
    x = 398,039.05/568.41
  6. Step 6: Final answer
    x = 700.27

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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.