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Finding the Fourth Proportional to 355.98, 490.82 and 257.70

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Solution

The fourth proportional to 355.98, 490.82 and 257.70 is: 355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.98 : 490.82 = 257.70 : x
  2. Step 2: Convert to fraction form
    355.98/490.82 = 257.70/x
  3. Step 3: Cross multiply
    355.98x = 490.82 × 257.70
  4. Step 4: Simplify right side
    355.98x = 126,483.03
  5. Step 5: Solve for x
    x = 126,483.03/355.98
  6. Step 6: Final answer
    x = 355.31

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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.