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Finding the Fourth Proportional to 704.88, 1,057.08 and 293.79

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Solution

The fourth proportional to 704.88, 1,057.08 and 293.79 is: 440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.88 : 1,057.08 = 293.79 : x
  2. Step 2: Convert to fraction form
    704.88/1,057.08 = 293.79/x
  3. Step 3: Cross multiply
    704.88x = 1,057.08 × 293.79
  4. Step 4: Simplify right side
    704.88x = 310,559.53
  5. Step 5: Solve for x
    x = 310,559.53/704.88
  6. Step 6: Final answer
    x = 440.58

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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.