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Finding the Fourth Proportional to 401.09, 554.01 and 362.14

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Solution

The fourth proportional to 401.09, 554.01 and 362.14 is: 500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.09 : 554.01 = 362.14 : x
  2. Step 2: Convert to fraction form
    401.09/554.01 = 362.14/x
  3. Step 3: Cross multiply
    401.09x = 554.01 × 362.14
  4. Step 4: Simplify right side
    401.09x = 200,626.44
  5. Step 5: Solve for x
    x = 200,626.44/401.09
  6. Step 6: Final answer
    x = 500.21

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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.