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Finding the Fourth Proportional to 523.56, 722.52 and 299.54

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Solution

The fourth proportional to 523.56, 722.52 and 299.54 is: 413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 722.52 = 299.54 : x
  2. Step 2: Convert to fraction form
    523.56/722.52 = 299.54/x
  3. Step 3: Cross multiply
    523.56x = 722.52 × 299.54
  4. Step 4: Simplify right side
    523.56x = 216,422.14
  5. Step 5: Solve for x
    x = 216,422.14/523.56
  6. Step 6: Final answer
    x = 413.37

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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.