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Finding the Fourth Proportional to 511.92, 764.69 and 337.14

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Solution

The fourth proportional to 511.92, 764.69 and 337.14 is: 503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 764.69 = 337.14 : x
  2. Step 2: Convert to fraction form
    511.92/764.69 = 337.14/x
  3. Step 3: Cross multiply
    511.92x = 764.69 × 337.14
  4. Step 4: Simplify right side
    511.92x = 257,805.90
  5. Step 5: Solve for x
    x = 257,805.90/511.92
  6. Step 6: Final answer
    x = 503.61

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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.