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Finding the Fourth Proportional to 620.16, 930.16 and 311.96

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Solution

The fourth proportional to 620.16, 930.16 and 311.96 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 930.16 = 311.96 : x
  2. Step 2: Convert to fraction form
    620.16/930.16 = 311.96/x
  3. Step 3: Cross multiply
    620.16x = 930.16 × 311.96
  4. Step 4: Simplify right side
    620.16x = 290,172.71
  5. Step 5: Solve for x
    x = 290,172.71/620.16
  6. Step 6: Final answer
    x = 467.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.