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Finding the Fourth Proportional to 536.13, 739.80 and 326.61

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Solution

The fourth proportional to 536.13, 739.80 and 326.61 is: 450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.13 : 739.80 = 326.61 : x
  2. Step 2: Convert to fraction form
    536.13/739.80 = 326.61/x
  3. Step 3: Cross multiply
    536.13x = 739.80 × 326.61
  4. Step 4: Simplify right side
    536.13x = 241,626.08
  5. Step 5: Solve for x
    x = 241,626.08/536.13
  6. Step 6: Final answer
    x = 450.69

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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.