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Finding the Fourth Proportional to 703.63, 971.09 and 441.73

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Solution

The fourth proportional to 703.63, 971.09 and 441.73 is: 609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.63 : 971.09 = 441.73 : x
  2. Step 2: Convert to fraction form
    703.63/971.09 = 441.73/x
  3. Step 3: Cross multiply
    703.63x = 971.09 × 441.73
  4. Step 4: Simplify right side
    703.63x = 428,959.59
  5. Step 5: Solve for x
    x = 428,959.59/703.63
  6. Step 6: Final answer
    x = 609.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.