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Finding the Fourth Proportional to 706.22, 974.63 and 444.29

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Solution

The fourth proportional to 706.22, 974.63 and 444.29 is: 613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.22 : 974.63 = 444.29 : x
  2. Step 2: Convert to fraction form
    706.22/974.63 = 444.29/x
  3. Step 3: Cross multiply
    706.22x = 974.63 × 444.29
  4. Step 4: Simplify right side
    706.22x = 433,014.60
  5. Step 5: Solve for x
    x = 433,014.60/706.22
  6. Step 6: Final answer
    x = 613.15

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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.