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Finding the Fourth Proportional to 589.90, 884.86 and 243.15

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Solution

The fourth proportional to 589.90, 884.86 and 243.15 is: 364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.90 : 884.86 = 243.15 : x
  2. Step 2: Convert to fraction form
    589.90/884.86 = 243.15/x
  3. Step 3: Cross multiply
    589.90x = 884.86 × 243.15
  4. Step 4: Simplify right side
    589.90x = 215,153.71
  5. Step 5: Solve for x
    x = 215,153.71/589.90
  6. Step 6: Final answer
    x = 364.73

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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.