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Finding the Fourth Proportional to 706.46, 974.94 and 391.72

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Solution

The fourth proportional to 706.46, 974.94 and 391.72 is: 540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 974.94 = 391.72 : x
  2. Step 2: Convert to fraction form
    706.46/974.94 = 391.72/x
  3. Step 3: Cross multiply
    706.46x = 974.94 × 391.72
  4. Step 4: Simplify right side
    706.46x = 381,903.50
  5. Step 5: Solve for x
    x = 381,903.50/706.46
  6. Step 6: Final answer
    x = 540.59

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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.