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Finding the Fourth Proportional to 660.98, 911.58 and 464.42

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Solution

The fourth proportional to 660.98, 911.58 and 464.42 is: 640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.98 : 911.58 = 464.42 : x
  2. Step 2: Convert to fraction form
    660.98/911.58 = 464.42/x
  3. Step 3: Cross multiply
    660.98x = 911.58 × 464.42
  4. Step 4: Simplify right side
    660.98x = 423,355.98
  5. Step 5: Solve for x
    x = 423,355.98/660.98
  6. Step 6: Final answer
    x = 640.50

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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.