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Finding the Fourth Proportional to 523.37, 722.36 and 357.97

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Solution

The fourth proportional to 523.37, 722.36 and 357.97 is: 494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.37 : 722.36 = 357.97 : x
  2. Step 2: Convert to fraction form
    523.37/722.36 = 357.97/x
  3. Step 3: Cross multiply
    523.37x = 722.36 × 357.97
  4. Step 4: Simplify right side
    523.37x = 258,583.21
  5. Step 5: Solve for x
    x = 258,583.21/523.37
  6. Step 6: Final answer
    x = 494.07

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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.