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Finding the Fourth Proportional to 535.58, 739.05 and 339.02

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Solution

The fourth proportional to 535.58, 739.05 and 339.02 is: 467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.58 : 739.05 = 339.02 : x
  2. Step 2: Convert to fraction form
    535.58/739.05 = 339.02/x
  3. Step 3: Cross multiply
    535.58x = 739.05 × 339.02
  4. Step 4: Simplify right side
    535.58x = 250,552.73
  5. Step 5: Solve for x
    x = 250,552.73/535.58
  6. Step 6: Final answer
    x = 467.82

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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.