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Finding the Fourth Proportional to 704.69, 972.41 and 394.13

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Solution

The fourth proportional to 704.69, 972.41 and 394.13 is: 543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.69 : 972.41 = 394.13 : x
  2. Step 2: Convert to fraction form
    704.69/972.41 = 394.13/x
  3. Step 3: Cross multiply
    704.69x = 972.41 × 394.13
  4. Step 4: Simplify right side
    704.69x = 383,251.09
  5. Step 5: Solve for x
    x = 383,251.09/704.69
  6. Step 6: Final answer
    x = 543.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.