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Finding the Fourth Proportional to 608.36, 911.58 and 412.67

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Solution

The fourth proportional to 608.36, 911.58 and 412.67 is: 618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.36 : 911.58 = 412.67 : x
  2. Step 2: Convert to fraction form
    608.36/911.58 = 412.67/x
  3. Step 3: Cross multiply
    608.36x = 911.58 × 412.67
  4. Step 4: Simplify right side
    608.36x = 376,181.05
  5. Step 5: Solve for x
    x = 376,181.05/608.36
  6. Step 6: Final answer
    x = 618.35

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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.