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Finding the Fourth Proportional to 535.57, 739.21 and 339.35

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Solution

The fourth proportional to 535.57, 739.21 and 339.35 is: 468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.57 : 739.21 = 339.35 : x
  2. Step 2: Convert to fraction form
    535.57/739.21 = 339.35/x
  3. Step 3: Cross multiply
    535.57x = 739.21 × 339.35
  4. Step 4: Simplify right side
    535.57x = 250,850.91
  5. Step 5: Solve for x
    x = 250,850.91/535.57
  6. Step 6: Final answer
    x = 468.38

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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.