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Finding the Fourth Proportional to 620.49, 930.64 and 187.63

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Solution

The fourth proportional to 620.49, 930.64 and 187.63 is: 281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.49 : 930.64 = 187.63 : x
  2. Step 2: Convert to fraction form
    620.49/930.64 = 187.63/x
  3. Step 3: Cross multiply
    620.49x = 930.64 × 187.63
  4. Step 4: Simplify right side
    620.49x = 174,615.98
  5. Step 5: Solve for x
    x = 174,615.98/620.49
  6. Step 6: Final answer
    x = 281.42

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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.