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Finding the Fourth Proportional to 513.77, 769.23 and 391.46

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Solution

The fourth proportional to 513.77, 769.23 and 391.46 is: 586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.77 : 769.23 = 391.46 : x
  2. Step 2: Convert to fraction form
    513.77/769.23 = 391.46/x
  3. Step 3: Cross multiply
    513.77x = 769.23 × 391.46
  4. Step 4: Simplify right side
    513.77x = 301,118.93
  5. Step 5: Solve for x
    x = 301,118.93/513.77
  6. Step 6: Final answer
    x = 586.10

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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.