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Finding the Fourth Proportional to 386.32, 533.15 and 239.03

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Solution

The fourth proportional to 386.32, 533.15 and 239.03 is: 329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.32 : 533.15 = 239.03 : x
  2. Step 2: Convert to fraction form
    386.32/533.15 = 239.03/x
  3. Step 3: Cross multiply
    386.32x = 533.15 × 239.03
  4. Step 4: Simplify right side
    386.32x = 127,437.65
  5. Step 5: Solve for x
    x = 127,437.65/386.32
  6. Step 6: Final answer
    x = 329.88

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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.