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Finding the Fourth Proportional to 512.83, 769.65 and 350.70

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Solution

The fourth proportional to 512.83, 769.65 and 350.70 is: 526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.83 : 769.65 = 350.70 : x
  2. Step 2: Convert to fraction form
    512.83/769.65 = 350.70/x
  3. Step 3: Cross multiply
    512.83x = 769.65 × 350.70
  4. Step 4: Simplify right side
    512.83x = 269,916.26
  5. Step 5: Solve for x
    x = 269,916.26/512.83
  6. Step 6: Final answer
    x = 526.33

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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.