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Finding the Fourth Proportional to 512.52, 766.89 and 307.23

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Solution

The fourth proportional to 512.52, 766.89 and 307.23 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.52 : 766.89 = 307.23 : x
  2. Step 2: Convert to fraction form
    512.52/766.89 = 307.23/x
  3. Step 3: Cross multiply
    512.52x = 766.89 × 307.23
  4. Step 4: Simplify right side
    512.52x = 235,611.61
  5. Step 5: Solve for x
    x = 235,611.61/512.52
  6. Step 6: Final answer
    x = 459.71

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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.