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Finding the Fourth Proportional to 256.53, 382.79 and 228.92

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Solution

The fourth proportional to 256.53, 382.79 and 228.92 is: 341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.53 : 382.79 = 228.92 : x
  2. Step 2: Convert to fraction form
    256.53/382.79 = 228.92/x
  3. Step 3: Cross multiply
    256.53x = 382.79 × 228.92
  4. Step 4: Simplify right side
    256.53x = 87,628.02
  5. Step 5: Solve for x
    x = 87,628.02/256.53
  6. Step 6: Final answer
    x = 341.59

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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.