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Finding the Fourth Proportional to 488.46, 732.63 and 180.33

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Solution

The fourth proportional to 488.46, 732.63 and 180.33 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.46 : 732.63 = 180.33 : x
  2. Step 2: Convert to fraction form
    488.46/732.63 = 180.33/x
  3. Step 3: Cross multiply
    488.46x = 732.63 × 180.33
  4. Step 4: Simplify right side
    488.46x = 132,115.17
  5. Step 5: Solve for x
    x = 132,115.17/488.46
  6. Step 6: Final answer
    x = 270.47

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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.