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Finding the Fourth Proportional to 701.36, 967.82 and 406.65

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Solution

The fourth proportional to 701.36, 967.82 and 406.65 is: 561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.36 : 967.82 = 406.65 : x
  2. Step 2: Convert to fraction form
    701.36/967.82 = 406.65/x
  3. Step 3: Cross multiply
    701.36x = 967.82 × 406.65
  4. Step 4: Simplify right side
    701.36x = 393,560.37
  5. Step 5: Solve for x
    x = 393,560.37/701.36
  6. Step 6: Final answer
    x = 561.14

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