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Finding the Fourth Proportional to 401.40, 602.10 and 218.41

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Solution

The fourth proportional to 401.40, 602.10 and 218.41 is: 327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.40 : 602.10 = 218.41 : x
  2. Step 2: Convert to fraction form
    401.40/602.10 = 218.41/x
  3. Step 3: Cross multiply
    401.40x = 602.10 × 218.41
  4. Step 4: Simplify right side
    401.40x = 131,503.16
  5. Step 5: Solve for x
    x = 131,503.16/401.40
  6. Step 6: Final answer
    x = 327.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.