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Finding the Fourth Proportional to 523.36, 722.22 and 290.49

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Solution

The fourth proportional to 523.36, 722.22 and 290.49 is: 400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.36 : 722.22 = 290.49 : x
  2. Step 2: Convert to fraction form
    523.36/722.22 = 290.49/x
  3. Step 3: Cross multiply
    523.36x = 722.22 × 290.49
  4. Step 4: Simplify right side
    523.36x = 209,793.89
  5. Step 5: Solve for x
    x = 209,793.89/523.36
  6. Step 6: Final answer
    x = 400.86

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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.