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Finding the Fourth Proportional to 535.44, 739.26 and 346.74

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Solution

The fourth proportional to 535.44, 739.26 and 346.74 is: 478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.44 : 739.26 = 346.74 : x
  2. Step 2: Convert to fraction form
    535.44/739.26 = 346.74/x
  3. Step 3: Cross multiply
    535.44x = 739.26 × 346.74
  4. Step 4: Simplify right side
    535.44x = 256,331.01
  5. Step 5: Solve for x
    x = 256,331.01/535.44
  6. Step 6: Final answer
    x = 478.73

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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.