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Finding the Fourth Proportional to 386.48, 533.36 and 229.20

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Solution

The fourth proportional to 386.48, 533.36 and 229.20 is: 316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.48 : 533.36 = 229.20 : x
  2. Step 2: Convert to fraction form
    386.48/533.36 = 229.20/x
  3. Step 3: Cross multiply
    386.48x = 533.36 × 229.20
  4. Step 4: Simplify right side
    386.48x = 122,248.54
  5. Step 5: Solve for x
    x = 122,248.54/386.48
  6. Step 6: Final answer
    x = 316.31

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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.