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Finding the Fourth Proportional to 322, 482.28 and 257.68

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Solution

The fourth proportional to 322, 482.28 and 257.68 is: 385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 482.28 = 257.68 : x
  2. Step 2: Convert to fraction form
    322/482.28 = 257.68/x
  3. Step 3: Cross multiply
    322x = 482.28 × 257.68
  4. Step 4: Simplify right side
    322x = 124,273.91
  5. Step 5: Solve for x
    x = 124,273.91/322
  6. Step 6: Final answer
    x = 385.94

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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.