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Finding the Fourth Proportional to 589.88, 884.72 and 156.94

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Solution

The fourth proportional to 589.88, 884.72 and 156.94 is: 235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 884.72 = 156.94 : x
  2. Step 2: Convert to fraction form
    589.88/884.72 = 156.94/x
  3. Step 3: Cross multiply
    589.88x = 884.72 × 156.94
  4. Step 4: Simplify right side
    589.88x = 138,846.14
  5. Step 5: Solve for x
    x = 138,846.14/589.88
  6. Step 6: Final answer
    x = 235.38

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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.