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Finding the Fourth Proportional to 351.72, 484.68 and 258.32

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Solution

The fourth proportional to 351.72, 484.68 and 258.32 is: 355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.72 : 484.68 = 258.32 : x
  2. Step 2: Convert to fraction form
    351.72/484.68 = 258.32/x
  3. Step 3: Cross multiply
    351.72x = 484.68 × 258.32
  4. Step 4: Simplify right side
    351.72x = 125,202.54
  5. Step 5: Solve for x
    x = 125,202.54/351.72
  6. Step 6: Final answer
    x = 355.97

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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.