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Finding the Fourth Proportional to 535.74, 739.30 and 333.77

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Solution

The fourth proportional to 535.74, 739.30 and 333.77 is: 460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 739.30 = 333.77 : x
  2. Step 2: Convert to fraction form
    535.74/739.30 = 333.77/x
  3. Step 3: Cross multiply
    535.74x = 739.30 × 333.77
  4. Step 4: Simplify right side
    535.74x = 246,752.46
  5. Step 5: Solve for x
    x = 246,752.46/535.74
  6. Step 6: Final answer
    x = 460.59

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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.