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Finding the Fourth Proportional to 401.36, 552.56 and 380.84

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Solution

The fourth proportional to 401.36, 552.56 and 380.84 is: 524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.36 : 552.56 = 380.84 : x
  2. Step 2: Convert to fraction form
    401.36/552.56 = 380.84/x
  3. Step 3: Cross multiply
    401.36x = 552.56 × 380.84
  4. Step 4: Simplify right side
    401.36x = 210,436.95
  5. Step 5: Solve for x
    x = 210,436.95/401.36
  6. Step 6: Final answer
    x = 524.31

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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.