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Finding the Fourth Proportional to 706.68, 974.94 and 444.48

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Solution

The fourth proportional to 706.68, 974.94 and 444.48 is: 613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.68 : 974.94 = 444.48 : x
  2. Step 2: Convert to fraction form
    706.68/974.94 = 444.48/x
  3. Step 3: Cross multiply
    706.68x = 974.94 × 444.48
  4. Step 4: Simplify right side
    706.68x = 433,341.33
  5. Step 5: Solve for x
    x = 433,341.33/706.68
  6. Step 6: Final answer
    x = 613.21

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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.