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Finding the Fourth Proportional to 511.25, 765.79 and 328.07

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Solution

The fourth proportional to 511.25, 765.79 and 328.07 is: 491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.25 : 765.79 = 328.07 : x
  2. Step 2: Convert to fraction form
    511.25/765.79 = 328.07/x
  3. Step 3: Cross multiply
    511.25x = 765.79 × 328.07
  4. Step 4: Simplify right side
    511.25x = 251,233.82
  5. Step 5: Solve for x
    x = 251,233.82/511.25
  6. Step 6: Final answer
    x = 491.42

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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.