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Finding the Fourth Proportional to 482.25, 723.31 and 189.55

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Solution

The fourth proportional to 482.25, 723.31 and 189.55 is: 284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 723.31 = 189.55 : x
  2. Step 2: Convert to fraction form
    482.25/723.31 = 189.55/x
  3. Step 3: Cross multiply
    482.25x = 723.31 × 189.55
  4. Step 4: Simplify right side
    482.25x = 137,103.41
  5. Step 5: Solve for x
    x = 137,103.41/482.25
  6. Step 6: Final answer
    x = 284.30

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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.