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Finding the Fourth Proportional to 376.92, 564.59 and 222.37

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Solution

The fourth proportional to 376.92, 564.59 and 222.37 is: 333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.92 : 564.59 = 222.37 : x
  2. Step 2: Convert to fraction form
    376.92/564.59 = 222.37/x
  3. Step 3: Cross multiply
    376.92x = 564.59 × 222.37
  4. Step 4: Simplify right side
    376.92x = 125,547.02
  5. Step 5: Solve for x
    x = 125,547.02/376.92
  6. Step 6: Final answer
    x = 333.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.