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Finding the Fourth Proportional to 488.64, 732.94 and 180.56

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Solution

The fourth proportional to 488.64, 732.94 and 180.56 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 732.94 = 180.56 : x
  2. Step 2: Convert to fraction form
    488.64/732.94 = 180.56/x
  3. Step 3: Cross multiply
    488.64x = 732.94 × 180.56
  4. Step 4: Simplify right side
    488.64x = 132,339.65
  5. Step 5: Solve for x
    x = 132,339.65/488.64
  6. Step 6: Final answer
    x = 270.83

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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.