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Finding the Fourth Proportional to 523.44, 721.56 and 336.87

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Solution

The fourth proportional to 523.44, 721.56 and 336.87 is: 464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 721.56 = 336.87 : x
  2. Step 2: Convert to fraction form
    523.44/721.56 = 336.87/x
  3. Step 3: Cross multiply
    523.44x = 721.56 × 336.87
  4. Step 4: Simplify right side
    523.44x = 243,068.31
  5. Step 5: Solve for x
    x = 243,068.31/523.44
  6. Step 6: Final answer
    x = 464.37

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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.