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Finding the Fourth Proportional to 512.89, 769.07 and 238.75

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Solution

The fourth proportional to 512.89, 769.07 and 238.75 is: 358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.89 : 769.07 = 238.75 : x
  2. Step 2: Convert to fraction form
    512.89/769.07 = 238.75/x
  3. Step 3: Cross multiply
    512.89x = 769.07 × 238.75
  4. Step 4: Simplify right side
    512.89x = 183,615.46
  5. Step 5: Solve for x
    x = 183,615.46/512.89
  6. Step 6: Final answer
    x = 358.00

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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.