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Finding the Fourth Proportional to 401.69, 554.40 and 262.20

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Solution

The fourth proportional to 401.69, 554.40 and 262.20 is: 361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.69 : 554.40 = 262.20 : x
  2. Step 2: Convert to fraction form
    401.69/554.40 = 262.20/x
  3. Step 3: Cross multiply
    401.69x = 554.40 × 262.20
  4. Step 4: Simplify right side
    401.69x = 145,363.68
  5. Step 5: Solve for x
    x = 145,363.68/401.69
  6. Step 6: Final answer
    x = 361.88

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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.