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Finding the Fourth Proportional to 660.36, 911.10 and 464.04

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Solution

The fourth proportional to 660.36, 911.10 and 464.04 is: 640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.36 : 911.10 = 464.04 : x
  2. Step 2: Convert to fraction form
    660.36/911.10 = 464.04/x
  3. Step 3: Cross multiply
    660.36x = 911.10 × 464.04
  4. Step 4: Simplify right side
    660.36x = 422,786.84
  5. Step 5: Solve for x
    x = 422,786.84/660.36
  6. Step 6: Final answer
    x = 640.24

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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.