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Finding the Fourth Proportional to 467.87, 645.97 and 418.67

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Solution

The fourth proportional to 467.87, 645.97 and 418.67 is: 578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.87 : 645.97 = 418.67 : x
  2. Step 2: Convert to fraction form
    467.87/645.97 = 418.67/x
  3. Step 3: Cross multiply
    467.87x = 645.97 × 418.67
  4. Step 4: Simplify right side
    467.87x = 270,442.94
  5. Step 5: Solve for x
    x = 270,442.94/467.87
  6. Step 6: Final answer
    x = 578.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.