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Finding the Fourth Proportional to 494.26, 741.84 and 250.96

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Solution

The fourth proportional to 494.26, 741.84 and 250.96 is: 376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.26 : 741.84 = 250.96 : x
  2. Step 2: Convert to fraction form
    494.26/741.84 = 250.96/x
  3. Step 3: Cross multiply
    494.26x = 741.84 × 250.96
  4. Step 4: Simplify right side
    494.26x = 186,172.17
  5. Step 5: Solve for x
    x = 186,172.17/494.26
  6. Step 6: Final answer
    x = 376.67

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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.