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Finding the Fourth Proportional to 511.46, 767.64 and 329.06

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Solution

The fourth proportional to 511.46, 767.64 and 329.06 is: 493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.46 : 767.64 = 329.06 : x
  2. Step 2: Convert to fraction form
    511.46/767.64 = 329.06/x
  3. Step 3: Cross multiply
    511.46x = 767.64 × 329.06
  4. Step 4: Simplify right side
    511.46x = 252,595.78
  5. Step 5: Solve for x
    x = 252,595.78/511.46
  6. Step 6: Final answer
    x = 493.88

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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.