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Finding the Fourth Proportional to 301.44, 415.08 and 257.68

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Solution

The fourth proportional to 301.44, 415.08 and 257.68 is: 354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.44 : 415.08 = 257.68 : x
  2. Step 2: Convert to fraction form
    301.44/415.08 = 257.68/x
  3. Step 3: Cross multiply
    301.44x = 415.08 × 257.68
  4. Step 4: Simplify right side
    301.44x = 106,957.81
  5. Step 5: Solve for x
    x = 106,957.81/301.44
  6. Step 6: Final answer
    x = 354.82

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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.