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Finding the Fourth Proportional to 704.30, 971.60 and 409.46

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Solution

The fourth proportional to 704.30, 971.60 and 409.46 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.30 : 971.60 = 409.46 : x
  2. Step 2: Convert to fraction form
    704.30/971.60 = 409.46/x
  3. Step 3: Cross multiply
    704.30x = 971.60 × 409.46
  4. Step 4: Simplify right side
    704.30x = 397,824.43
  5. Step 5: Solve for x
    x = 397,824.43/704.30
  6. Step 6: Final answer
    x = 564.85

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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.