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Finding the Fourth Proportional to 488.54, 732.91 and 180.40

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Solution

The fourth proportional to 488.54, 732.91 and 180.40 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 732.91 = 180.40 : x
  2. Step 2: Convert to fraction form
    488.54/732.91 = 180.40/x
  3. Step 3: Cross multiply
    488.54x = 732.91 × 180.40
  4. Step 4: Simplify right side
    488.54x = 132,215.58
  5. Step 5: Solve for x
    x = 132,215.58/488.54
  6. Step 6: Final answer
    x = 270.63

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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.