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Finding the Fourth Proportional to 465.27, 697.92 and 221.67

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Solution

The fourth proportional to 465.27, 697.92 and 221.67 is: 332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.27 : 697.92 = 221.67 : x
  2. Step 2: Convert to fraction form
    465.27/697.92 = 221.67/x
  3. Step 3: Cross multiply
    465.27x = 697.92 × 221.67
  4. Step 4: Simplify right side
    465.27x = 154,707.93
  5. Step 5: Solve for x
    x = 154,707.93/465.27
  6. Step 6: Final answer
    x = 332.51

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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.