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Finding the Fourth Proportional to 704.36, 1,056.61 and 217.45

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Solution

The fourth proportional to 704.36, 1,056.61 and 217.45 is: 326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.36 : 1,056.61 = 217.45 : x
  2. Step 2: Convert to fraction form
    704.36/1,056.61 = 217.45/x
  3. Step 3: Cross multiply
    704.36x = 1,056.61 × 217.45
  4. Step 4: Simplify right side
    704.36x = 229,754.56
  5. Step 5: Solve for x
    x = 229,754.56/704.36
  6. Step 6: Final answer
    x = 326.19

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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.