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Finding the Fourth Proportional to 589.12, 883.28 and 281.04

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Solution

The fourth proportional to 589.12, 883.28 and 281.04 is: 421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 883.28 = 281.04 : x
  2. Step 2: Convert to fraction form
    589.12/883.28 = 281.04/x
  3. Step 3: Cross multiply
    589.12x = 883.28 × 281.04
  4. Step 4: Simplify right side
    589.12x = 248,237.01
  5. Step 5: Solve for x
    x = 248,237.01/589.12
  6. Step 6: Final answer
    x = 421.37

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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.