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Finding the Fourth Proportional to 256.29, 384.28 and 234.52

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Solution

The fourth proportional to 256.29, 384.28 and 234.52 is: 351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 384.28 = 234.52 : x
  2. Step 2: Convert to fraction form
    256.29/384.28 = 234.52/x
  3. Step 3: Cross multiply
    256.29x = 384.28 × 234.52
  4. Step 4: Simplify right side
    256.29x = 90,119.42
  5. Step 5: Solve for x
    x = 90,119.42/256.29
  6. Step 6: Final answer
    x = 351.64

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Why These Related Problems?

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