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Finding the Fourth Proportional to 476.73, 657.77 and 301.97

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Solution

The fourth proportional to 476.73, 657.77 and 301.97 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.73 : 657.77 = 301.97 : x
  2. Step 2: Convert to fraction form
    476.73/657.77 = 301.97/x
  3. Step 3: Cross multiply
    476.73x = 657.77 × 301.97
  4. Step 4: Simplify right side
    476.73x = 198,629.21
  5. Step 5: Solve for x
    x = 198,629.21/476.73
  6. Step 6: Final answer
    x = 416.65

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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.