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Finding the Fourth Proportional to 467.68, 645.34 and 301.84

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Solution

The fourth proportional to 467.68, 645.34 and 301.84 is: 416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.68 : 645.34 = 301.84 : x
  2. Step 2: Convert to fraction form
    467.68/645.34 = 301.84/x
  3. Step 3: Cross multiply
    467.68x = 645.34 × 301.84
  4. Step 4: Simplify right side
    467.68x = 194,789.43
  5. Step 5: Solve for x
    x = 194,789.43/467.68
  6. Step 6: Final answer
    x = 416.50

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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.