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Finding the Fourth Proportional to 568.36, 853.02 and 392.56

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Solution

The fourth proportional to 568.36, 853.02 and 392.56 is: 589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.36 : 853.02 = 392.56 : x
  2. Step 2: Convert to fraction form
    568.36/853.02 = 392.56/x
  3. Step 3: Cross multiply
    568.36x = 853.02 × 392.56
  4. Step 4: Simplify right side
    568.36x = 334,861.53
  5. Step 5: Solve for x
    x = 334,861.53/568.36
  6. Step 6: Final answer
    x = 589.17

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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.