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Finding the Fourth Proportional to 511.14, 763.05 and 494.01

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Solution

The fourth proportional to 511.14, 763.05 and 494.01 is: 737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.14 : 763.05 = 494.01 : x
  2. Step 2: Convert to fraction form
    511.14/763.05 = 494.01/x
  3. Step 3: Cross multiply
    511.14x = 763.05 × 494.01
  4. Step 4: Simplify right side
    511.14x = 376,954.33
  5. Step 5: Solve for x
    x = 376,954.33/511.14
  6. Step 6: Final answer
    x = 737.48

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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.