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Finding the Fourth Proportional to 589.14, 883.08 and 280.80

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Solution

The fourth proportional to 589.14, 883.08 and 280.80 is: 420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 883.08 = 280.80 : x
  2. Step 2: Convert to fraction form
    589.14/883.08 = 280.80/x
  3. Step 3: Cross multiply
    589.14x = 883.08 × 280.80
  4. Step 4: Simplify right side
    589.14x = 247,968.86
  5. Step 5: Solve for x
    x = 247,968.86/589.14
  6. Step 6: Final answer
    x = 420.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.