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Finding the Fourth Proportional to 352.20, 485.47 and 282.14

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Solution

The fourth proportional to 352.20, 485.47 and 282.14 is: 388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.20 : 485.47 = 282.14 : x
  2. Step 2: Convert to fraction form
    352.20/485.47 = 282.14/x
  3. Step 3: Cross multiply
    352.20x = 485.47 × 282.14
  4. Step 4: Simplify right side
    352.20x = 136,970.51
  5. Step 5: Solve for x
    x = 136,970.51/352.20
  6. Step 6: Final answer
    x = 388.90

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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.