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Finding the Fourth Proportional to 440.64, 659.81 and 310.97

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Solution

The fourth proportional to 440.64, 659.81 and 310.97 is: 465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.64 : 659.81 = 310.97 : x
  2. Step 2: Convert to fraction form
    440.64/659.81 = 310.97/x
  3. Step 3: Cross multiply
    440.64x = 659.81 × 310.97
  4. Step 4: Simplify right side
    440.64x = 205,183.54
  5. Step 5: Solve for x
    x = 205,183.54/440.64
  6. Step 6: Final answer
    x = 465.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.