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Finding the Fourth Proportional to 256.47, 384.39 and 215.79

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Solution

The fourth proportional to 256.47, 384.39 and 215.79 is: 323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 384.39 = 215.79 : x
  2. Step 2: Convert to fraction form
    256.47/384.39 = 215.79/x
  3. Step 3: Cross multiply
    256.47x = 384.39 × 215.79
  4. Step 4: Simplify right side
    256.47x = 82,947.52
  5. Step 5: Solve for x
    x = 82,947.52/256.47
  6. Step 6: Final answer
    x = 323.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.