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Finding the Fourth Proportional to 523.34, 721.51 and 450.44

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Solution

The fourth proportional to 523.34, 721.51 and 450.44 is: 621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.34 : 721.51 = 450.44 : x
  2. Step 2: Convert to fraction form
    523.34/721.51 = 450.44/x
  3. Step 3: Cross multiply
    523.34x = 721.51 × 450.44
  4. Step 4: Simplify right side
    523.34x = 324,996.96
  5. Step 5: Solve for x
    x = 324,996.96/523.34
  6. Step 6: Final answer
    x = 621.01

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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.