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Finding the Fourth Proportional to 589.26, 883.86 and 333.30

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Solution

The fourth proportional to 589.26, 883.86 and 333.30 is: 499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.26 : 883.86 = 333.30 : x
  2. Step 2: Convert to fraction form
    589.26/883.86 = 333.30/x
  3. Step 3: Cross multiply
    589.26x = 883.86 × 333.30
  4. Step 4: Simplify right side
    589.26x = 294,590.54
  5. Step 5: Solve for x
    x = 294,590.54/589.26
  6. Step 6: Final answer
    x = 499.93

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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.