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Finding the Fourth Proportional to 523.50, 782.83 and 391.96

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Solution

The fourth proportional to 523.50, 782.83 and 391.96 is: 586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 782.83 = 391.96 : x
  2. Step 2: Convert to fraction form
    523.50/782.83 = 391.96/x
  3. Step 3: Cross multiply
    523.50x = 782.83 × 391.96
  4. Step 4: Simplify right side
    523.50x = 306,838.05
  5. Step 5: Solve for x
    x = 306,838.05/523.50
  6. Step 6: Final answer
    x = 586.13

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Why These Related Problems?

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