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Finding the Fourth Proportional to 513.23, 769.94 and 188.58

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Solution

The fourth proportional to 513.23, 769.94 and 188.58 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.23 : 769.94 = 188.58 : x
  2. Step 2: Convert to fraction form
    513.23/769.94 = 188.58/x
  3. Step 3: Cross multiply
    513.23x = 769.94 × 188.58
  4. Step 4: Simplify right side
    513.23x = 145,194.34
  5. Step 5: Solve for x
    x = 145,194.34/513.23
  6. Step 6: Final answer
    x = 282.91

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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.