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Finding the Fourth Proportional to 536, 739.74 and 326.14

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Solution

The fourth proportional to 536, 739.74 and 326.14 is: 450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    536 : 739.74 = 326.14 : x
  2. Step 2: Convert to fraction form
    536/739.74 = 326.14/x
  3. Step 3: Cross multiply
    536x = 739.74 × 326.14
  4. Step 4: Simplify right side
    536x = 241,258.80
  5. Step 5: Solve for x
    x = 241,258.80/536
  6. Step 6: Final answer
    x = 450.11

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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.