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Finding the Fourth Proportional to 536.02, 739.56 and 303.14

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Solution

The fourth proportional to 536.02, 739.56 and 303.14 is: 418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.02 : 739.56 = 303.14 : x
  2. Step 2: Convert to fraction form
    536.02/739.56 = 303.14/x
  3. Step 3: Cross multiply
    536.02x = 739.56 × 303.14
  4. Step 4: Simplify right side
    536.02x = 224,190.22
  5. Step 5: Solve for x
    x = 224,190.22/536.02
  6. Step 6: Final answer
    x = 418.25

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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.