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Finding the Fourth Proportional to 523.44, 721.84 and 336.60

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Solution

The fourth proportional to 523.44, 721.84 and 336.60 is: 464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 721.84 = 336.60 : x
  2. Step 2: Convert to fraction form
    523.44/721.84 = 336.60/x
  3. Step 3: Cross multiply
    523.44x = 721.84 × 336.60
  4. Step 4: Simplify right side
    523.44x = 242,971.34
  5. Step 5: Solve for x
    x = 242,971.34/523.44
  6. Step 6: Final answer
    x = 464.18

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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.