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Finding the Fourth Proportional to 386.24, 578.31 and 203.25

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Solution

The fourth proportional to 386.24, 578.31 and 203.25 is: 304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 578.31 = 203.25 : x
  2. Step 2: Convert to fraction form
    386.24/578.31 = 203.25/x
  3. Step 3: Cross multiply
    386.24x = 578.31 × 203.25
  4. Step 4: Simplify right side
    386.24x = 117,541.51
  5. Step 5: Solve for x
    x = 117,541.51/386.24
  6. Step 6: Final answer
    x = 304.33

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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.