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Finding the Fourth Proportional to 486.73, 671.69 and 265.67

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Solution

The fourth proportional to 486.73, 671.69 and 265.67 is: 366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.73 : 671.69 = 265.67 : x
  2. Step 2: Convert to fraction form
    486.73/671.69 = 265.67/x
  3. Step 3: Cross multiply
    486.73x = 671.69 × 265.67
  4. Step 4: Simplify right side
    486.73x = 178,448.23
  5. Step 5: Solve for x
    x = 178,448.23/486.73
  6. Step 6: Final answer
    x = 366.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.