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Finding the Fourth Proportional to 511.38, 762.75 and 482.49

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Solution

The fourth proportional to 511.38, 762.75 and 482.49 is: 719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 762.75 = 482.49 : x
  2. Step 2: Convert to fraction form
    511.38/762.75 = 482.49/x
  3. Step 3: Cross multiply
    511.38x = 762.75 × 482.49
  4. Step 4: Simplify right side
    511.38x = 368,019.25
  5. Step 5: Solve for x
    x = 368,019.25/511.38
  6. Step 6: Final answer
    x = 719.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.