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Finding the Fourth Proportional to 258.05, 385.09 and 256.43

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Solution

The fourth proportional to 258.05, 385.09 and 256.43 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.05 : 385.09 = 256.43 : x
  2. Step 2: Convert to fraction form
    258.05/385.09 = 256.43/x
  3. Step 3: Cross multiply
    258.05x = 385.09 × 256.43
  4. Step 4: Simplify right side
    258.05x = 98,748.95
  5. Step 5: Solve for x
    x = 98,748.95/258.05
  6. Step 6: Final answer
    x = 382.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.