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Finding the Fourth Proportional to 511.50, 766.86 and 414.12

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Solution

The fourth proportional to 511.50, 766.86 and 414.12 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 766.86 = 414.12 : x
  2. Step 2: Convert to fraction form
    511.50/766.86 = 414.12/x
  3. Step 3: Cross multiply
    511.50x = 766.86 × 414.12
  4. Step 4: Simplify right side
    511.50x = 317,572.06
  5. Step 5: Solve for x
    x = 317,572.06/511.50
  6. Step 6: Final answer
    x = 620.86

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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.