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Finding the Fourth Proportional to 660.38, 911.94 and 464.36

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Solution

The fourth proportional to 660.38, 911.94 and 464.36 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.38 : 911.94 = 464.36 : x
  2. Step 2: Convert to fraction form
    660.38/911.94 = 464.36/x
  3. Step 3: Cross multiply
    660.38x = 911.94 × 464.36
  4. Step 4: Simplify right side
    660.38x = 423,468.46
  5. Step 5: Solve for x
    x = 423,468.46/660.38
  6. Step 6: Final answer
    x = 641.25

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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.