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Finding the Fourth Proportional to 538.45, 743.41 and 339.58

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Solution

The fourth proportional to 538.45, 743.41 and 339.58 is: 468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 743.41 = 339.58 : x
  2. Step 2: Convert to fraction form
    538.45/743.41 = 339.58/x
  3. Step 3: Cross multiply
    538.45x = 743.41 × 339.58
  4. Step 4: Simplify right side
    538.45x = 252,445.73
  5. Step 5: Solve for x
    x = 252,445.73/538.45
  6. Step 6: Final answer
    x = 468.84

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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.