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Finding the Fourth Proportional to 494.32, 682.19 and 319.67

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Solution

The fourth proportional to 494.32, 682.19 and 319.67 is: 441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.32 : 682.19 = 319.67 : x
  2. Step 2: Convert to fraction form
    494.32/682.19 = 319.67/x
  3. Step 3: Cross multiply
    494.32x = 682.19 × 319.67
  4. Step 4: Simplify right side
    494.32x = 218,075.68
  5. Step 5: Solve for x
    x = 218,075.68/494.32
  6. Step 6: Final answer
    x = 441.16

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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.