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Finding the Fourth Proportional to 401.44, 554.34 and 313.96

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Solution

The fourth proportional to 401.44, 554.34 and 313.96 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.44 : 554.34 = 313.96 : x
  2. Step 2: Convert to fraction form
    401.44/554.34 = 313.96/x
  3. Step 3: Cross multiply
    401.44x = 554.34 × 313.96
  4. Step 4: Simplify right side
    401.44x = 174,040.59
  5. Step 5: Solve for x
    x = 174,040.59/401.44
  6. Step 6: Final answer
    x = 433.54

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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.