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Finding the Fourth Proportional to 512.78, 769.09 and 188.07

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Solution

The fourth proportional to 512.78, 769.09 and 188.07 is: 282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.78 : 769.09 = 188.07 : x
  2. Step 2: Convert to fraction form
    512.78/769.09 = 188.07/x
  3. Step 3: Cross multiply
    512.78x = 769.09 × 188.07
  4. Step 4: Simplify right side
    512.78x = 144,642.76
  5. Step 5: Solve for x
    x = 144,642.76/512.78
  6. Step 6: Final answer
    x = 282.08

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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.