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Finding the Fourth Proportional to 535.90, 739.37 and 349.66

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Solution

The fourth proportional to 535.90, 739.37 and 349.66 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.90 : 739.37 = 349.66 : x
  2. Step 2: Convert to fraction form
    535.90/739.37 = 349.66/x
  3. Step 3: Cross multiply
    535.90x = 739.37 × 349.66
  4. Step 4: Simplify right side
    535.90x = 258,524.42
  5. Step 5: Solve for x
    x = 258,524.42/535.90
  6. Step 6: Final answer
    x = 482.42

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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.