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Finding the Fourth Proportional to 704.12, 971.64 and 409.34

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Solution

The fourth proportional to 704.12, 971.64 and 409.34 is: 564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.12 : 971.64 = 409.34 : x
  2. Step 2: Convert to fraction form
    704.12/971.64 = 409.34/x
  3. Step 3: Cross multiply
    704.12x = 971.64 × 409.34
  4. Step 4: Simplify right side
    704.12x = 397,731.12
  5. Step 5: Solve for x
    x = 397,731.12/704.12
  6. Step 6: Final answer
    x = 564.86

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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.