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Finding the Fourth Proportional to 465.41, 697.34 and 234.06

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Solution

The fourth proportional to 465.41, 697.34 and 234.06 is: 350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.41 : 697.34 = 234.06 : x
  2. Step 2: Convert to fraction form
    465.41/697.34 = 234.06/x
  3. Step 3: Cross multiply
    465.41x = 697.34 × 234.06
  4. Step 4: Simplify right side
    465.41x = 163,219.99
  5. Step 5: Solve for x
    x = 163,219.99/465.41
  6. Step 6: Final answer
    x = 350.71

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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.