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Finding the Fourth Proportional to 386.22, 533.04 and 353.28

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Solution

The fourth proportional to 386.22, 533.04 and 353.28 is: 487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.22 : 533.04 = 353.28 : x
  2. Step 2: Convert to fraction form
    386.22/533.04 = 353.28/x
  3. Step 3: Cross multiply
    386.22x = 533.04 × 353.28
  4. Step 4: Simplify right side
    386.22x = 188,312.37
  5. Step 5: Solve for x
    x = 188,312.37/386.22
  6. Step 6: Final answer
    x = 487.58

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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.