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Finding the Fourth Proportional to 535.71, 739.08 and 339.15

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Solution

The fourth proportional to 535.71, 739.08 and 339.15 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.71 : 739.08 = 339.15 : x
  2. Step 2: Convert to fraction form
    535.71/739.08 = 339.15/x
  3. Step 3: Cross multiply
    535.71x = 739.08 × 339.15
  4. Step 4: Simplify right side
    535.71x = 250,658.98
  5. Step 5: Solve for x
    x = 250,658.98/535.71
  6. Step 6: Final answer
    x = 467.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.