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Finding the Fourth Proportional to 706.43, 974.80 and 411.67

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Solution

The fourth proportional to 706.43, 974.80 and 411.67 is: 568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.43 : 974.80 = 411.67 : x
  2. Step 2: Convert to fraction form
    706.43/974.80 = 411.67/x
  3. Step 3: Cross multiply
    706.43x = 974.80 × 411.67
  4. Step 4: Simplify right side
    706.43x = 401,295.92
  5. Step 5: Solve for x
    x = 401,295.92/706.43
  6. Step 6: Final answer
    x = 568.06

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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.