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Finding the Fourth Proportional to 523.91, 721.63 and 484.99

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Solution

The fourth proportional to 523.91, 721.63 and 484.99 is: 668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.91 : 721.63 = 484.99 : x
  2. Step 2: Convert to fraction form
    523.91/721.63 = 484.99/x
  3. Step 3: Cross multiply
    523.91x = 721.63 × 484.99
  4. Step 4: Simplify right side
    523.91x = 349,983.33
  5. Step 5: Solve for x
    x = 349,983.33/523.91
  6. Step 6: Final answer
    x = 668.02

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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.