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Finding the Fourth Proportional to 488.01, 732.09 and 180.09

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Solution

The fourth proportional to 488.01, 732.09 and 180.09 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.01 : 732.09 = 180.09 : x
  2. Step 2: Convert to fraction form
    488.01/732.09 = 180.09/x
  3. Step 3: Cross multiply
    488.01x = 732.09 × 180.09
  4. Step 4: Simplify right side
    488.01x = 131,842.09
  5. Step 5: Solve for x
    x = 131,842.09/488.01
  6. Step 6: Final answer
    x = 270.16

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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.