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Finding the Fourth Proportional to 706.50, 974.97 and 396.06

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Solution

The fourth proportional to 706.50, 974.97 and 396.06 is: 546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 974.97 = 396.06 : x
  2. Step 2: Convert to fraction form
    706.50/974.97 = 396.06/x
  3. Step 3: Cross multiply
    706.50x = 974.97 × 396.06
  4. Step 4: Simplify right side
    706.50x = 386,146.62
  5. Step 5: Solve for x
    x = 386,146.62/706.50
  6. Step 6: Final answer
    x = 546.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.