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Finding the Fourth Proportional to 589.98, 884.76 and 179.10

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Solution

The fourth proportional to 589.98, 884.76 and 179.10 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.98 : 884.76 = 179.10 : x
  2. Step 2: Convert to fraction form
    589.98/884.76 = 179.10/x
  3. Step 3: Cross multiply
    589.98x = 884.76 × 179.10
  4. Step 4: Simplify right side
    589.98x = 158,460.52
  5. Step 5: Solve for x
    x = 158,460.52/589.98
  6. Step 6: Final answer
    x = 268.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.