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Finding the Fourth Proportional to 308.96, 425.64 and 256.28

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Solution

The fourth proportional to 308.96, 425.64 and 256.28 is: 353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.96 : 425.64 = 256.28 : x
  2. Step 2: Convert to fraction form
    308.96/425.64 = 256.28/x
  3. Step 3: Cross multiply
    308.96x = 425.64 × 256.28
  4. Step 4: Simplify right side
    308.96x = 109,083.02
  5. Step 5: Solve for x
    x = 109,083.02/308.96
  6. Step 6: Final answer
    x = 353.07

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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.