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Finding the Fourth Proportional to 351.04, 484.17 and 257.75

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Solution

The fourth proportional to 351.04, 484.17 and 257.75 is: 355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.04 : 484.17 = 257.75 : x
  2. Step 2: Convert to fraction form
    351.04/484.17 = 257.75/x
  3. Step 3: Cross multiply
    351.04x = 484.17 × 257.75
  4. Step 4: Simplify right side
    351.04x = 124,794.82
  5. Step 5: Solve for x
    x = 124,794.82/351.04
  6. Step 6: Final answer
    x = 355.50

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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.