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Finding the Fourth Proportional to 523.43, 722.53 and 449.45

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Solution

The fourth proportional to 523.43, 722.53 and 449.45 is: 620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 722.53 = 449.45 : x
  2. Step 2: Convert to fraction form
    523.43/722.53 = 449.45/x
  3. Step 3: Cross multiply
    523.43x = 722.53 × 449.45
  4. Step 4: Simplify right side
    523.43x = 324,741.11
  5. Step 5: Solve for x
    x = 324,741.11/523.43
  6. Step 6: Final answer
    x = 620.41

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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.