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Finding the Fourth Proportional to 511.12, 769.69 and 367.84

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Solution

The fourth proportional to 511.12, 769.69 and 367.84 is: 553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.12 : 769.69 = 367.84 : x
  2. Step 2: Convert to fraction form
    511.12/769.69 = 367.84/x
  3. Step 3: Cross multiply
    511.12x = 769.69 × 367.84
  4. Step 4: Simplify right side
    511.12x = 283,122.77
  5. Step 5: Solve for x
    x = 283,122.77/511.12
  6. Step 6: Final answer
    x = 553.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.