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Finding the Fourth Proportional to 536.14, 739.89 and 303.25

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Solution

The fourth proportional to 536.14, 739.89 and 303.25 is: 418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 739.89 = 303.25 : x
  2. Step 2: Convert to fraction form
    536.14/739.89 = 303.25/x
  3. Step 3: Cross multiply
    536.14x = 739.89 × 303.25
  4. Step 4: Simplify right side
    536.14x = 224,371.64
  5. Step 5: Solve for x
    x = 224,371.64/536.14
  6. Step 6: Final answer
    x = 418.49

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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.