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Finding the Fourth Proportional to 511.23, 765.82 and 279.78

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Solution

The fourth proportional to 511.23, 765.82 and 279.78 is: 419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.23 : 765.82 = 279.78 : x
  2. Step 2: Convert to fraction form
    511.23/765.82 = 279.78/x
  3. Step 3: Cross multiply
    511.23x = 765.82 × 279.78
  4. Step 4: Simplify right side
    511.23x = 214,261.12
  5. Step 5: Solve for x
    x = 214,261.12/511.23
  6. Step 6: Final answer
    x = 419.11

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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.