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Finding the Fourth Proportional to 513.91, 770.90 and 392.92

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Solution

The fourth proportional to 513.91, 770.90 and 392.92 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.91 : 770.90 = 392.92 : x
  2. Step 2: Convert to fraction form
    513.91/770.90 = 392.92/x
  3. Step 3: Cross multiply
    513.91x = 770.90 × 392.92
  4. Step 4: Simplify right side
    513.91x = 302,902.03
  5. Step 5: Solve for x
    x = 302,902.03/513.91
  6. Step 6: Final answer
    x = 589.41

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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.