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Finding the Fourth Proportional to 523.35, 721.93 and 333.94

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Solution

The fourth proportional to 523.35, 721.93 and 333.94 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.35 : 721.93 = 333.94 : x
  2. Step 2: Convert to fraction form
    523.35/721.93 = 333.94/x
  3. Step 3: Cross multiply
    523.35x = 721.93 × 333.94
  4. Step 4: Simplify right side
    523.35x = 241,076.02
  5. Step 5: Solve for x
    x = 241,076.02/523.35
  6. Step 6: Final answer
    x = 460.64

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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.