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Finding the Fourth Proportional to 352.28, 485.59 and 282.12

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Solution

The fourth proportional to 352.28, 485.59 and 282.12 is: 388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.28 : 485.59 = 282.12 : x
  2. Step 2: Convert to fraction form
    352.28/485.59 = 282.12/x
  3. Step 3: Cross multiply
    352.28x = 485.59 × 282.12
  4. Step 4: Simplify right side
    352.28x = 136,994.65
  5. Step 5: Solve for x
    x = 136,994.65/352.28
  6. Step 6: Final answer
    x = 388.88

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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.