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Finding the Fourth Proportional to 704.25, 971.96 and 409.50

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Solution

The fourth proportional to 704.25, 971.96 and 409.50 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.25 : 971.96 = 409.50 : x
  2. Step 2: Convert to fraction form
    704.25/971.96 = 409.50/x
  3. Step 3: Cross multiply
    704.25x = 971.96 × 409.50
  4. Step 4: Simplify right side
    704.25x = 398,015.57
  5. Step 5: Solve for x
    x = 398,015.57/704.25
  6. Step 6: Final answer
    x = 565.16

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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.