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Finding the Fourth Proportional to 704.14, 971.74 and 393.64

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Solution

The fourth proportional to 704.14, 971.74 and 393.64 is: 543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.14 : 971.74 = 393.64 : x
  2. Step 2: Convert to fraction form
    704.14/971.74 = 393.64/x
  3. Step 3: Cross multiply
    704.14x = 971.74 × 393.64
  4. Step 4: Simplify right side
    704.14x = 382,515.73
  5. Step 5: Solve for x
    x = 382,515.73/704.14
  6. Step 6: Final answer
    x = 543.24

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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.