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Finding the Fourth Proportional to 536.30, 739.92 and 339.86

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Solution

The fourth proportional to 536.30, 739.92 and 339.86 is: 468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.30 : 739.92 = 339.86 : x
  2. Step 2: Convert to fraction form
    536.30/739.92 = 339.86/x
  3. Step 3: Cross multiply
    536.30x = 739.92 × 339.86
  4. Step 4: Simplify right side
    536.30x = 251,469.21
  5. Step 5: Solve for x
    x = 251,469.21/536.30
  6. Step 6: Final answer
    x = 468.90

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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.