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Finding the Fourth Proportional to 513.05, 769.69 and 239

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Solution

The fourth proportional to 513.05, 769.69 and 239 is: 358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.05 : 769.69 = 239 : x
  2. Step 2: Convert to fraction form
    513.05/769.69 = 239/x
  3. Step 3: Cross multiply
    513.05x = 769.69 × 239
  4. Step 4: Simplify right side
    513.05x = 183,955.91
  5. Step 5: Solve for x
    x = 183,955.91/513.05
  6. Step 6: Final answer
    x = 358.55

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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.