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Finding the Fourth Proportional to 495.45, 683.70 and 274.41

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Solution

The fourth proportional to 495.45, 683.70 and 274.41 is: 378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.45 : 683.70 = 274.41 : x
  2. Step 2: Convert to fraction form
    495.45/683.70 = 274.41/x
  3. Step 3: Cross multiply
    495.45x = 683.70 × 274.41
  4. Step 4: Simplify right side
    495.45x = 187,614.12
  5. Step 5: Solve for x
    x = 187,614.12/495.45
  6. Step 6: Final answer
    x = 378.67

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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.