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Finding the Fourth Proportional to 523.12, 720.26 and 444.27

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Solution

The fourth proportional to 523.12, 720.26 and 444.27 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 720.26 = 444.27 : x
  2. Step 2: Convert to fraction form
    523.12/720.26 = 444.27/x
  3. Step 3: Cross multiply
    523.12x = 720.26 × 444.27
  4. Step 4: Simplify right side
    523.12x = 319,987.69
  5. Step 5: Solve for x
    x = 319,987.69/523.12
  6. Step 6: Final answer
    x = 611.70

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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.