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Finding the Fourth Proportional to 511.39, 766.81 and 203.23

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Solution

The fourth proportional to 511.39, 766.81 and 203.23 is: 304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.39 : 766.81 = 203.23 : x
  2. Step 2: Convert to fraction form
    511.39/766.81 = 203.23/x
  3. Step 3: Cross multiply
    511.39x = 766.81 × 203.23
  4. Step 4: Simplify right side
    511.39x = 155,838.80
  5. Step 5: Solve for x
    x = 155,838.80/511.39
  6. Step 6: Final answer
    x = 304.74

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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.