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Finding the Fourth Proportional to 703.12, 971.04 and 441.28

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Solution

The fourth proportional to 703.12, 971.04 and 441.28 is: 609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.12 : 971.04 = 441.28 : x
  2. Step 2: Convert to fraction form
    703.12/971.04 = 441.28/x
  3. Step 3: Cross multiply
    703.12x = 971.04 × 441.28
  4. Step 4: Simplify right side
    703.12x = 428,500.53
  5. Step 5: Solve for x
    x = 428,500.53/703.12
  6. Step 6: Final answer
    x = 609.43

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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.