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Finding the Fourth Proportional to 420.32, 629.84 and 268

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Solution

The fourth proportional to 420.32, 629.84 and 268 is: 401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.32 : 629.84 = 268 : x
  2. Step 2: Convert to fraction form
    420.32/629.84 = 268/x
  3. Step 3: Cross multiply
    420.32x = 629.84 × 268
  4. Step 4: Simplify right side
    420.32x = 168,797.12
  5. Step 5: Solve for x
    x = 168,797.12/420.32
  6. Step 6: Final answer
    x = 401.59

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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.