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Finding the Fourth Proportional to 536.40, 739.92 and 303.48

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Solution

The fourth proportional to 536.40, 739.92 and 303.48 is: 418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.40 : 739.92 = 303.48 : x
  2. Step 2: Convert to fraction form
    536.40/739.92 = 303.48/x
  3. Step 3: Cross multiply
    536.40x = 739.92 × 303.48
  4. Step 4: Simplify right side
    536.40x = 224,550.92
  5. Step 5: Solve for x
    x = 224,550.92/536.40
  6. Step 6: Final answer
    x = 418.63

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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.