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Finding the Fourth Proportional to 512.58, 769.26 and 187.98

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Solution

The fourth proportional to 512.58, 769.26 and 187.98 is: 282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 769.26 = 187.98 : x
  2. Step 2: Convert to fraction form
    512.58/769.26 = 187.98/x
  3. Step 3: Cross multiply
    512.58x = 769.26 × 187.98
  4. Step 4: Simplify right side
    512.58x = 144,605.49
  5. Step 5: Solve for x
    x = 144,605.49/512.58
  6. Step 6: Final answer
    x = 282.11

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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.