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Finding the Fourth Proportional to 704.01, 971.37 and 409.22

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Solution

The fourth proportional to 704.01, 971.37 and 409.22 is: 564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.01 : 971.37 = 409.22 : x
  2. Step 2: Convert to fraction form
    704.01/971.37 = 409.22/x
  3. Step 3: Cross multiply
    704.01x = 971.37 × 409.22
  4. Step 4: Simplify right side
    704.01x = 397,502.82
  5. Step 5: Solve for x
    x = 397,502.82/704.01
  6. Step 6: Final answer
    x = 564.62

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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.