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Finding the Fourth Proportional to 536.25, 739.94 and 300.16

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Solution

The fourth proportional to 536.25, 739.94 and 300.16 is: 414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.25 : 739.94 = 300.16 : x
  2. Step 2: Convert to fraction form
    536.25/739.94 = 300.16/x
  3. Step 3: Cross multiply
    536.25x = 739.94 × 300.16
  4. Step 4: Simplify right side
    536.25x = 222,100.39
  5. Step 5: Solve for x
    x = 222,100.39/536.25
  6. Step 6: Final answer
    x = 414.17

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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.