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Finding the Fourth Proportional to 401.41, 602.34 and 271.47

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Solution

The fourth proportional to 401.41, 602.34 and 271.47 is: 407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.41 : 602.34 = 271.47 : x
  2. Step 2: Convert to fraction form
    401.41/602.34 = 271.47/x
  3. Step 3: Cross multiply
    401.41x = 602.34 × 271.47
  4. Step 4: Simplify right side
    401.41x = 163,517.24
  5. Step 5: Solve for x
    x = 163,517.24/401.41
  6. Step 6: Final answer
    x = 407.36

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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.