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Finding the Fourth Proportional to 421.22, 580.97 and 263.67

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Solution

The fourth proportional to 421.22, 580.97 and 263.67 is: 363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.22 : 580.97 = 263.67 : x
  2. Step 2: Convert to fraction form
    421.22/580.97 = 263.67/x
  3. Step 3: Cross multiply
    421.22x = 580.97 × 263.67
  4. Step 4: Simplify right side
    421.22x = 153,185.02
  5. Step 5: Solve for x
    x = 153,185.02/421.22
  6. Step 6: Final answer
    x = 363.67

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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.