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Finding the Fourth Proportional to 589.61, 884.49 and 178.76

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Solution

The fourth proportional to 589.61, 884.49 and 178.76 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.61 : 884.49 = 178.76 : x
  2. Step 2: Convert to fraction form
    589.61/884.49 = 178.76/x
  3. Step 3: Cross multiply
    589.61x = 884.49 × 178.76
  4. Step 4: Simplify right side
    589.61x = 158,111.43
  5. Step 5: Solve for x
    x = 158,111.43/589.61
  6. Step 6: Final answer
    x = 268.16

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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.