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Finding the Fourth Proportional to 704.15, 971.91 and 409.50

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Solution

The fourth proportional to 704.15, 971.91 and 409.50 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.15 : 971.91 = 409.50 : x
  2. Step 2: Convert to fraction form
    704.15/971.91 = 409.50/x
  3. Step 3: Cross multiply
    704.15x = 971.91 × 409.50
  4. Step 4: Simplify right side
    704.15x = 397,997.15
  5. Step 5: Solve for x
    x = 397,997.15/704.15
  6. Step 6: Final answer
    x = 565.22

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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.