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Finding the Fourth Proportional to 704.23, 971.94 and 409.66

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Solution

The fourth proportional to 704.23, 971.94 and 409.66 is: 565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.23 : 971.94 = 409.66 : x
  2. Step 2: Convert to fraction form
    704.23/971.94 = 409.66/x
  3. Step 3: Cross multiply
    704.23x = 971.94 × 409.66
  4. Step 4: Simplify right side
    704.23x = 398,164.94
  5. Step 5: Solve for x
    x = 398,164.94/704.23
  6. Step 6: Final answer
    x = 565.39

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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.