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Finding the Fourth Proportional to 301.62, 415.86 and 257.28

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Solution

The fourth proportional to 301.62, 415.86 and 257.28 is: 354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.62 : 415.86 = 257.28 : x
  2. Step 2: Convert to fraction form
    301.62/415.86 = 257.28/x
  3. Step 3: Cross multiply
    301.62x = 415.86 × 257.28
  4. Step 4: Simplify right side
    301.62x = 106,990.66
  5. Step 5: Solve for x
    x = 106,990.66/301.62
  6. Step 6: Final answer
    x = 354.72

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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.