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Finding the Fourth Proportional to 589.78, 884.67 and 178.91

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Solution

The fourth proportional to 589.78, 884.67 and 178.91 is: 268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 884.67 = 178.91 : x
  2. Step 2: Convert to fraction form
    589.78/884.67 = 178.91/x
  3. Step 3: Cross multiply
    589.78x = 884.67 × 178.91
  4. Step 4: Simplify right side
    589.78x = 158,275.54
  5. Step 5: Solve for x
    x = 158,275.54/589.78
  6. Step 6: Final answer
    x = 268.36

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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.