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Finding the Fourth Proportional to 373.41, 558.90 and 257.38

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Solution

The fourth proportional to 373.41, 558.90 and 257.38 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.41 : 558.90 = 257.38 : x
  2. Step 2: Convert to fraction form
    373.41/558.90 = 257.38/x
  3. Step 3: Cross multiply
    373.41x = 558.90 × 257.38
  4. Step 4: Simplify right side
    373.41x = 143,848.28
  5. Step 5: Solve for x
    x = 143,848.28/373.41
  6. Step 6: Final answer
    x = 385.23

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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.