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Finding the Fourth Proportional to 706.16, 974.43 and 391.37

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Solution

The fourth proportional to 706.16, 974.43 and 391.37 is: 540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.16 : 974.43 = 391.37 : x
  2. Step 2: Convert to fraction form
    706.16/974.43 = 391.37/x
  3. Step 3: Cross multiply
    706.16x = 974.43 × 391.37
  4. Step 4: Simplify right side
    706.16x = 381,362.67
  5. Step 5: Solve for x
    x = 381,362.67/706.16
  6. Step 6: Final answer
    x = 540.05

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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.