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Finding the Fourth Proportional to 701.68, 968.19 and 440.05

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Solution

The fourth proportional to 701.68, 968.19 and 440.05 is: 607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.68 : 968.19 = 440.05 : x
  2. Step 2: Convert to fraction form
    701.68/968.19 = 440.05/x
  3. Step 3: Cross multiply
    701.68x = 968.19 × 440.05
  4. Step 4: Simplify right side
    701.68x = 426,052.01
  5. Step 5: Solve for x
    x = 426,052.01/701.68
  6. Step 6: Final answer
    x = 607.19

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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.