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Finding the Fourth Proportional to 309.96, 427.02 and 257.28

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Solution

The fourth proportional to 309.96, 427.02 and 257.28 is: 354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 427.02 = 257.28 : x
  2. Step 2: Convert to fraction form
    309.96/427.02 = 257.28/x
  3. Step 3: Cross multiply
    309.96x = 427.02 × 257.28
  4. Step 4: Simplify right side
    309.96x = 109,863.71
  5. Step 5: Solve for x
    x = 109,863.71/309.96
  6. Step 6: Final answer
    x = 354.44

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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.