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Finding the Fourth Proportional to 523.42, 722.07 and 326.89

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Solution

The fourth proportional to 523.42, 722.07 and 326.89 is: 450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.42 : 722.07 = 326.89 : x
  2. Step 2: Convert to fraction form
    523.42/722.07 = 326.89/x
  3. Step 3: Cross multiply
    523.42x = 722.07 × 326.89
  4. Step 4: Simplify right side
    523.42x = 236,037.46
  5. Step 5: Solve for x
    x = 236,037.46/523.42
  6. Step 6: Final answer
    x = 450.95

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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.