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Finding the Fourth Proportional to 412.83, 617.93 and 229.67

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Solution

The fourth proportional to 412.83, 617.93 and 229.67 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 617.93 = 229.67 : x
  2. Step 2: Convert to fraction form
    412.83/617.93 = 229.67/x
  3. Step 3: Cross multiply
    412.83x = 617.93 × 229.67
  4. Step 4: Simplify right side
    412.83x = 141,918.92
  5. Step 5: Solve for x
    x = 141,918.92/412.83
  6. Step 6: Final answer
    x = 343.77

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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.