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Finding the Fourth Proportional to 310.06, 465.23 and 233.67

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Solution

The fourth proportional to 310.06, 465.23 and 233.67 is: 350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.06 : 465.23 = 233.67 : x
  2. Step 2: Convert to fraction form
    310.06/465.23 = 233.67/x
  3. Step 3: Cross multiply
    310.06x = 465.23 × 233.67
  4. Step 4: Simplify right side
    310.06x = 108,710.29
  5. Step 5: Solve for x
    x = 108,710.29/310.06
  6. Step 6: Final answer
    x = 350.61

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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.