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Finding the Fourth Proportional to 701.16, 967.07 and 464.69

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Solution

The fourth proportional to 701.16, 967.07 and 464.69 is: 640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.16 : 967.07 = 464.69 : x
  2. Step 2: Convert to fraction form
    701.16/967.07 = 464.69/x
  3. Step 3: Cross multiply
    701.16x = 967.07 × 464.69
  4. Step 4: Simplify right side
    701.16x = 449,380.60
  5. Step 5: Solve for x
    x = 449,380.60/701.16
  6. Step 6: Final answer
    x = 640.91

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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.