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Finding the Fourth Proportional to 422.98, 584.03 and 275.70

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Solution

The fourth proportional to 422.98, 584.03 and 275.70 is: 380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.98 : 584.03 = 275.70 : x
  2. Step 2: Convert to fraction form
    422.98/584.03 = 275.70/x
  3. Step 3: Cross multiply
    422.98x = 584.03 × 275.70
  4. Step 4: Simplify right side
    422.98x = 161,017.07
  5. Step 5: Solve for x
    x = 161,017.07/422.98
  6. Step 6: Final answer
    x = 380.67

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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.