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Finding the Fourth Proportional to 355.98, 490.42 and 339.58

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Solution

The fourth proportional to 355.98, 490.42 and 339.58 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.98 : 490.42 = 339.58 : x
  2. Step 2: Convert to fraction form
    355.98/490.42 = 339.58/x
  3. Step 3: Cross multiply
    355.98x = 490.42 × 339.58
  4. Step 4: Simplify right side
    355.98x = 166,536.82
  5. Step 5: Solve for x
    x = 166,536.82/355.98
  6. Step 6: Final answer
    x = 467.83

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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.