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Finding the Fourth Proportional to 589.31, 883.97 and 172.88

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Solution

The fourth proportional to 589.31, 883.97 and 172.88 is: 259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.31 : 883.97 = 172.88 : x
  2. Step 2: Convert to fraction form
    589.31/883.97 = 172.88/x
  3. Step 3: Cross multiply
    589.31x = 883.97 × 172.88
  4. Step 4: Simplify right side
    589.31x = 152,820.73
  5. Step 5: Solve for x
    x = 152,820.73/589.31
  6. Step 6: Final answer
    x = 259.32

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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.