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Finding the Fourth Proportional to 704.50, 971.82 and 409.74

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Solution

The fourth proportional to 704.50, 971.82 and 409.74 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.50 : 971.82 = 409.74 : x
  2. Step 2: Convert to fraction form
    704.50/971.82 = 409.74/x
  3. Step 3: Cross multiply
    704.50x = 971.82 × 409.74
  4. Step 4: Simplify right side
    704.50x = 398,192.12
  5. Step 5: Solve for x
    x = 398,192.12/704.50
  6. Step 6: Final answer
    x = 565.21

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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.