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Finding the Fourth Proportional to 367.98, 507.43 and 257.41

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Solution

The fourth proportional to 367.98, 507.43 and 257.41 is: 354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.98 : 507.43 = 257.41 : x
  2. Step 2: Convert to fraction form
    367.98/507.43 = 257.41/x
  3. Step 3: Cross multiply
    367.98x = 507.43 × 257.41
  4. Step 4: Simplify right side
    367.98x = 130,617.56
  5. Step 5: Solve for x
    x = 130,617.56/367.98
  6. Step 6: Final answer
    x = 354.96

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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.