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Finding the Fourth Proportional to 386.54, 533.28 and 229.14

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Solution

The fourth proportional to 386.54, 533.28 and 229.14 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.54 : 533.28 = 229.14 : x
  2. Step 2: Convert to fraction form
    386.54/533.28 = 229.14/x
  3. Step 3: Cross multiply
    386.54x = 533.28 × 229.14
  4. Step 4: Simplify right side
    386.54x = 122,195.78
  5. Step 5: Solve for x
    x = 122,195.78/386.54
  6. Step 6: Final answer
    x = 316.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.