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Finding the Fourth Proportional to 704.49, 971.97 and 409.65

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Solution

The fourth proportional to 704.49, 971.97 and 409.65 is: 565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.49 : 971.97 = 409.65 : x
  2. Step 2: Convert to fraction form
    704.49/971.97 = 409.65/x
  3. Step 3: Cross multiply
    704.49x = 971.97 × 409.65
  4. Step 4: Simplify right side
    704.49x = 398,167.51
  5. Step 5: Solve for x
    x = 398,167.51/704.49
  6. Step 6: Final answer
    x = 565.19

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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.