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Finding the Fourth Proportional to 320.81, 482.01 and 205.31

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Solution

The fourth proportional to 320.81, 482.01 and 205.31 is: 308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.81 : 482.01 = 205.31 : x
  2. Step 2: Convert to fraction form
    320.81/482.01 = 205.31/x
  3. Step 3: Cross multiply
    320.81x = 482.01 × 205.31
  4. Step 4: Simplify right side
    320.81x = 98,959.06
  5. Step 5: Solve for x
    x = 98,959.06/320.81
  6. Step 6: Final answer
    x = 308.47

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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.