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Finding the Fourth Proportional to 536.24, 739.76 and 329.36

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Solution

The fourth proportional to 536.24, 739.76 and 329.36 is: 454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 739.76 = 329.36 : x
  2. Step 2: Convert to fraction form
    536.24/739.76 = 329.36/x
  3. Step 3: Cross multiply
    536.24x = 739.76 × 329.36
  4. Step 4: Simplify right side
    536.24x = 243,647.35
  5. Step 5: Solve for x
    x = 243,647.35/536.24
  6. Step 6: Final answer
    x = 454.36

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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.