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Finding the Fourth Proportional to 701.42, 967.94 and 406.67

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Solution

The fourth proportional to 701.42, 967.94 and 406.67 is: 561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.42 : 967.94 = 406.67 : x
  2. Step 2: Convert to fraction form
    701.42/967.94 = 406.67/x
  3. Step 3: Cross multiply
    701.42x = 967.94 × 406.67
  4. Step 4: Simplify right side
    701.42x = 393,632.16
  5. Step 5: Solve for x
    x = 393,632.16/701.42
  6. Step 6: Final answer
    x = 561.19

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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.