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Finding the Fourth Proportional to 704.78, 1,057.31 and 293.79

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Solution

The fourth proportional to 704.78, 1,057.31 and 293.79 is: 440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.78 : 1,057.31 = 293.79 : x
  2. Step 2: Convert to fraction form
    704.78/1,057.31 = 293.79/x
  3. Step 3: Cross multiply
    704.78x = 1,057.31 × 293.79
  4. Step 4: Simplify right side
    704.78x = 310,627.10
  5. Step 5: Solve for x
    x = 310,627.10/704.78
  6. Step 6: Final answer
    x = 440.74

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Why These Related Problems?

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