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Finding the Fourth Proportional to 535.92, 739.46 and 339.36

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Solution

The fourth proportional to 535.92, 739.46 and 339.36 is: 468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.92 : 739.46 = 339.36 : x
  2. Step 2: Convert to fraction form
    535.92/739.46 = 339.36/x
  3. Step 3: Cross multiply
    535.92x = 739.46 × 339.36
  4. Step 4: Simplify right side
    535.92x = 250,943.15
  5. Step 5: Solve for x
    x = 250,943.15/535.92
  6. Step 6: Final answer
    x = 468.25

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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.