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Finding the Fourth Proportional to 511.54, 766.72 and 203.33

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Solution

The fourth proportional to 511.54, 766.72 and 203.33 is: 304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.54 : 766.72 = 203.33 : x
  2. Step 2: Convert to fraction form
    511.54/766.72 = 203.33/x
  3. Step 3: Cross multiply
    511.54x = 766.72 × 203.33
  4. Step 4: Simplify right side
    511.54x = 155,897.18
  5. Step 5: Solve for x
    x = 155,897.18/511.54
  6. Step 6: Final answer
    x = 304.76

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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.