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Finding the Fourth Proportional to 512.33, 769.10 and 404.19

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Solution

The fourth proportional to 512.33, 769.10 and 404.19 is: 606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.33 : 769.10 = 404.19 : x
  2. Step 2: Convert to fraction form
    512.33/769.10 = 404.19/x
  3. Step 3: Cross multiply
    512.33x = 769.10 × 404.19
  4. Step 4: Simplify right side
    512.33x = 310,860.51
  5. Step 5: Solve for x
    x = 310,860.51/512.33
  6. Step 6: Final answer
    x = 606.76

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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.