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Finding the Fourth Proportional to 700.75, 967.34 and 438.92

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Solution

The fourth proportional to 700.75, 967.34 and 438.92 is: 605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.75 : 967.34 = 438.92 : x
  2. Step 2: Convert to fraction form
    700.75/967.34 = 438.92/x
  3. Step 3: Cross multiply
    700.75x = 967.34 × 438.92
  4. Step 4: Simplify right side
    700.75x = 424,584.87
  5. Step 5: Solve for x
    x = 424,584.87/700.75
  6. Step 6: Final answer
    x = 605.90

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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.