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Finding the Fourth Proportional to 386.30, 533.04 and 255.26

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Solution

The fourth proportional to 386.30, 533.04 and 255.26 is: 352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.30 : 533.04 = 255.26 : x
  2. Step 2: Convert to fraction form
    386.30/533.04 = 255.26/x
  3. Step 3: Cross multiply
    386.30x = 533.04 × 255.26
  4. Step 4: Simplify right side
    386.30x = 136,063.79
  5. Step 5: Solve for x
    x = 136,063.79/386.30
  6. Step 6: Final answer
    x = 352.22

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