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Finding the Fourth Proportional to 535.61, 739.63 and 349.31

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Solution

The fourth proportional to 535.61, 739.63 and 349.31 is: 482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.61 : 739.63 = 349.31 : x
  2. Step 2: Convert to fraction form
    535.61/739.63 = 349.31/x
  3. Step 3: Cross multiply
    535.61x = 739.63 × 349.31
  4. Step 4: Simplify right side
    535.61x = 258,362.44
  5. Step 5: Solve for x
    x = 258,362.44/535.61
  6. Step 6: Final answer
    x = 482.37

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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.