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Finding the Fourth Proportional to 511.94, 767.49 and 306.62

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Solution

The fourth proportional to 511.94, 767.49 and 306.62 is: 459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.94 : 767.49 = 306.62 : x
  2. Step 2: Convert to fraction form
    511.94/767.49 = 306.62/x
  3. Step 3: Cross multiply
    511.94x = 767.49 × 306.62
  4. Step 4: Simplify right side
    511.94x = 235,327.78
  5. Step 5: Solve for x
    x = 235,327.78/511.94
  6. Step 6: Final answer
    x = 459.68

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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.