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Finding the Fourth Proportional to 467.99, 645.68 and 268.82

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Solution

The fourth proportional to 467.99, 645.68 and 268.82 is: 370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.99 : 645.68 = 268.82 : x
  2. Step 2: Convert to fraction form
    467.99/645.68 = 268.82/x
  3. Step 3: Cross multiply
    467.99x = 645.68 × 268.82
  4. Step 4: Simplify right side
    467.99x = 173,571.70
  5. Step 5: Solve for x
    x = 173,571.70/467.99
  6. Step 6: Final answer
    x = 370.89

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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.