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Finding the Fourth Proportional to 513.24, 769.41 and 188.54

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Solution

The fourth proportional to 513.24, 769.41 and 188.54 is: 282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 769.41 = 188.54 : x
  2. Step 2: Convert to fraction form
    513.24/769.41 = 188.54/x
  3. Step 3: Cross multiply
    513.24x = 769.41 × 188.54
  4. Step 4: Simplify right side
    513.24x = 145,060.71
  5. Step 5: Solve for x
    x = 145,060.71/513.24
  6. Step 6: Final answer
    x = 282.64

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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.