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Finding the Fourth Proportional to 513.37, 769.90 and 188.77

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Solution

The fourth proportional to 513.37, 769.90 and 188.77 is: 283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.37 : 769.90 = 188.77 : x
  2. Step 2: Convert to fraction form
    513.37/769.90 = 188.77/x
  3. Step 3: Cross multiply
    513.37x = 769.90 × 188.77
  4. Step 4: Simplify right side
    513.37x = 145,329.23
  5. Step 5: Solve for x
    x = 145,329.23/513.37
  6. Step 6: Final answer
    x = 283.09

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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.