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Finding the Fourth Proportional to 703.85, 971.39 and 438.28

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Solution

The fourth proportional to 703.85, 971.39 and 438.28 is: 604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.85 : 971.39 = 438.28 : x
  2. Step 2: Convert to fraction form
    703.85/971.39 = 438.28/x
  3. Step 3: Cross multiply
    703.85x = 971.39 × 438.28
  4. Step 4: Simplify right side
    703.85x = 425,739.48
  5. Step 5: Solve for x
    x = 425,739.48/703.85
  6. Step 6: Final answer
    x = 604.88

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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.