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Finding the Fourth Proportional to 523.56, 722.61 and 290.70

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Solution

The fourth proportional to 523.56, 722.61 and 290.70 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 722.61 = 290.70 : x
  2. Step 2: Convert to fraction form
    523.56/722.61 = 290.70/x
  3. Step 3: Cross multiply
    523.56x = 722.61 × 290.70
  4. Step 4: Simplify right side
    523.56x = 210,062.73
  5. Step 5: Solve for x
    x = 210,062.73/523.56
  6. Step 6: Final answer
    x = 401.22

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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.