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Finding the Fourth Proportional to 440.37, 659.21 and 394.11

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Solution

The fourth proportional to 440.37, 659.21 and 394.11 is: 589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.37 : 659.21 = 394.11 : x
  2. Step 2: Convert to fraction form
    440.37/659.21 = 394.11/x
  3. Step 3: Cross multiply
    440.37x = 659.21 × 394.11
  4. Step 4: Simplify right side
    440.37x = 259,799.28
  5. Step 5: Solve for x
    x = 259,799.28/440.37
  6. Step 6: Final answer
    x = 589.96

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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.