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Finding the Fourth Proportional to 523.35, 722.22 and 287.31

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Solution

The fourth proportional to 523.35, 722.22 and 287.31 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.35 : 722.22 = 287.31 : x
  2. Step 2: Convert to fraction form
    523.35/722.22 = 287.31/x
  3. Step 3: Cross multiply
    523.35x = 722.22 × 287.31
  4. Step 4: Simplify right side
    523.35x = 207,497.24
  5. Step 5: Solve for x
    x = 207,497.24/523.35
  6. Step 6: Final answer
    x = 396.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.