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Finding the Fourth Proportional to 371.98, 512.40 and 354.34

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Solution

The fourth proportional to 371.98, 512.40 and 354.34 is: 488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.98 : 512.40 = 354.34 : x
  2. Step 2: Convert to fraction form
    371.98/512.40 = 354.34/x
  3. Step 3: Cross multiply
    371.98x = 512.40 × 354.34
  4. Step 4: Simplify right side
    371.98x = 181,563.82
  5. Step 5: Solve for x
    x = 181,563.82/371.98
  6. Step 6: Final answer
    x = 488.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.