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Finding the Fourth Proportional to 322.39, 482.73 and 257.09

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Solution

The fourth proportional to 322.39, 482.73 and 257.09 is: 384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.39 : 482.73 = 257.09 : x
  2. Step 2: Convert to fraction form
    322.39/482.73 = 257.09/x
  3. Step 3: Cross multiply
    322.39x = 482.73 × 257.09
  4. Step 4: Simplify right side
    322.39x = 124,101.68
  5. Step 5: Solve for x
    x = 124,101.68/322.39
  6. Step 6: Final answer
    x = 384.94

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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.