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Finding the Fourth Proportional to 536.14, 739.82 and 303.26

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Solution

The fourth proportional to 536.14, 739.82 and 303.26 is: 418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 739.82 = 303.26 : x
  2. Step 2: Convert to fraction form
    536.14/739.82 = 303.26/x
  3. Step 3: Cross multiply
    536.14x = 739.82 × 303.26
  4. Step 4: Simplify right side
    536.14x = 224,357.81
  5. Step 5: Solve for x
    x = 224,357.81/536.14
  6. Step 6: Final answer
    x = 418.47

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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.