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Finding the Fourth Proportional to 465.30, 697.26 and 221.94

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Solution

The fourth proportional to 465.30, 697.26 and 221.94 is: 332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.30 : 697.26 = 221.94 : x
  2. Step 2: Convert to fraction form
    465.30/697.26 = 221.94/x
  3. Step 3: Cross multiply
    465.30x = 697.26 × 221.94
  4. Step 4: Simplify right side
    465.30x = 154,749.88
  5. Step 5: Solve for x
    x = 154,749.88/465.30
  6. Step 6: Final answer
    x = 332.58

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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.