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Finding the Fourth Proportional to 523.78, 722.14 and 326.94

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Solution

The fourth proportional to 523.78, 722.14 and 326.94 is: 450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 722.14 = 326.94 : x
  2. Step 2: Convert to fraction form
    523.78/722.14 = 326.94/x
  3. Step 3: Cross multiply
    523.78x = 722.14 × 326.94
  4. Step 4: Simplify right side
    523.78x = 236,096.45
  5. Step 5: Solve for x
    x = 236,096.45/523.78
  6. Step 6: Final answer
    x = 450.75

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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.