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Finding the Fourth Proportional to 589.68, 884.66 and 178.79

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Solution

The fourth proportional to 589.68, 884.66 and 178.79 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 884.66 = 178.79 : x
  2. Step 2: Convert to fraction form
    589.68/884.66 = 178.79/x
  3. Step 3: Cross multiply
    589.68x = 884.66 × 178.79
  4. Step 4: Simplify right side
    589.68x = 158,168.02
  5. Step 5: Solve for x
    x = 158,168.02/589.68
  6. Step 6: Final answer
    x = 268.23

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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.