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Finding the Fourth Proportional to 620.30, 930.46 and 187.46

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Solution

The fourth proportional to 620.30, 930.46 and 187.46 is: 281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.30 : 930.46 = 187.46 : x
  2. Step 2: Convert to fraction form
    620.30/930.46 = 187.46/x
  3. Step 3: Cross multiply
    620.30x = 930.46 × 187.46
  4. Step 4: Simplify right side
    620.30x = 174,424.03
  5. Step 5: Solve for x
    x = 174,424.03/620.30
  6. Step 6: Final answer
    x = 281.19

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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.