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Finding the Fourth Proportional to 511.48, 766.41 and 349.09

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Solution

The fourth proportional to 511.48, 766.41 and 349.09 is: 523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.48 : 766.41 = 349.09 : x
  2. Step 2: Convert to fraction form
    511.48/766.41 = 349.09/x
  3. Step 3: Cross multiply
    511.48x = 766.41 × 349.09
  4. Step 4: Simplify right side
    511.48x = 267,546.07
  5. Step 5: Solve for x
    x = 267,546.07/511.48
  6. Step 6: Final answer
    x = 523.08

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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.