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Finding the Fourth Proportional to 401.76, 554.62 and 269.21

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Solution

The fourth proportional to 401.76, 554.62 and 269.21 is: 371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 554.62 = 269.21 : x
  2. Step 2: Convert to fraction form
    401.76/554.62 = 269.21/x
  3. Step 3: Cross multiply
    401.76x = 554.62 × 269.21
  4. Step 4: Simplify right side
    401.76x = 149,309.25
  5. Step 5: Solve for x
    x = 149,309.25/401.76
  6. Step 6: Final answer
    x = 371.64

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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.