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Finding the Fourth Proportional to 488.74, 733.40 and 180.81

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Solution

The fourth proportional to 488.74, 733.40 and 180.81 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.74 : 733.40 = 180.81 : x
  2. Step 2: Convert to fraction form
    488.74/733.40 = 180.81/x
  3. Step 3: Cross multiply
    488.74x = 733.40 × 180.81
  4. Step 4: Simplify right side
    488.74x = 132,603.92
  5. Step 5: Solve for x
    x = 132,603.92/488.74
  6. Step 6: Final answer
    x = 271.32

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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.