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Finding the Fourth Proportional to 493.60, 680.40 and 338.08

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Solution

The fourth proportional to 493.60, 680.40 and 338.08 is: 466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.60 : 680.40 = 338.08 : x
  2. Step 2: Convert to fraction form
    493.60/680.40 = 338.08/x
  3. Step 3: Cross multiply
    493.60x = 680.40 × 338.08
  4. Step 4: Simplify right side
    493.60x = 230,029.63
  5. Step 5: Solve for x
    x = 230,029.63/493.60
  6. Step 6: Final answer
    x = 466.02

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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.