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Finding the Fourth Proportional to 412.86, 618.62 and 250.05

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Solution

The fourth proportional to 412.86, 618.62 and 250.05 is: 374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.86 : 618.62 = 250.05 : x
  2. Step 2: Convert to fraction form
    412.86/618.62 = 250.05/x
  3. Step 3: Cross multiply
    412.86x = 618.62 × 250.05
  4. Step 4: Simplify right side
    412.86x = 154,684.68
  5. Step 5: Solve for x
    x = 154,684.68/412.86
  6. Step 6: Final answer
    x = 374.67

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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.