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Finding the Fourth Proportional to 589.01, 883.55 and 198.96

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Solution

The fourth proportional to 589.01, 883.55 and 198.96 is: 298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.01 : 883.55 = 198.96 : x
  2. Step 2: Convert to fraction form
    589.01/883.55 = 198.96/x
  3. Step 3: Cross multiply
    589.01x = 883.55 × 198.96
  4. Step 4: Simplify right side
    589.01x = 175,788.15
  5. Step 5: Solve for x
    x = 175,788.15/589.01
  6. Step 6: Final answer
    x = 298.45

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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.