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Finding the Fourth Proportional to 465.22, 697.02 and 233.56

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Solution

The fourth proportional to 465.22, 697.02 and 233.56 is: 349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.22 : 697.02 = 233.56 : x
  2. Step 2: Convert to fraction form
    465.22/697.02 = 233.56/x
  3. Step 3: Cross multiply
    465.22x = 697.02 × 233.56
  4. Step 4: Simplify right side
    465.22x = 162,795.99
  5. Step 5: Solve for x
    x = 162,795.99/465.22
  6. Step 6: Final answer
    x = 349.93

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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.