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Finding the Fourth Proportional to 321.84, 481.56 and 257.52

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Solution

The fourth proportional to 321.84, 481.56 and 257.52 is: 385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 481.56 = 257.52 : x
  2. Step 2: Convert to fraction form
    321.84/481.56 = 257.52/x
  3. Step 3: Cross multiply
    321.84x = 481.56 × 257.52
  4. Step 4: Simplify right side
    321.84x = 124,011.33
  5. Step 5: Solve for x
    x = 124,011.33/321.84
  6. Step 6: Final answer
    x = 385.32

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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.