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Finding the Fourth Proportional to 662.52, 993.78 and 419.12

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Solution

The fourth proportional to 662.52, 993.78 and 419.12 is: 628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.52 : 993.78 = 419.12 : x
  2. Step 2: Convert to fraction form
    662.52/993.78 = 419.12/x
  3. Step 3: Cross multiply
    662.52x = 993.78 × 419.12
  4. Step 4: Simplify right side
    662.52x = 416,508.10
  5. Step 5: Solve for x
    x = 416,508.10/662.52
  6. Step 6: Final answer
    x = 628.67

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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.