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Finding the Fourth Proportional to 704.34, 1,056.24 and 314.22

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Solution

The fourth proportional to 704.34, 1,056.24 and 314.22 is: 471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.34 : 1,056.24 = 314.22 : x
  2. Step 2: Convert to fraction form
    704.34/1,056.24 = 314.22/x
  3. Step 3: Cross multiply
    704.34x = 1,056.24 × 314.22
  4. Step 4: Simplify right side
    704.34x = 331,891.73
  5. Step 5: Solve for x
    x = 331,891.73/704.34
  6. Step 6: Final answer
    x = 471.21

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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.