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Finding the Fourth Proportional to 620.50, 930.92 and 230.71

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Solution

The fourth proportional to 620.50, 930.92 and 230.71 is: 346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.50 : 930.92 = 230.71 : x
  2. Step 2: Convert to fraction form
    620.50/930.92 = 230.71/x
  3. Step 3: Cross multiply
    620.50x = 930.92 × 230.71
  4. Step 4: Simplify right side
    620.50x = 214,769.07
  5. Step 5: Solve for x
    x = 214,769.07/620.50
  6. Step 6: Final answer
    x = 346.12

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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.