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Finding the Fourth Proportional to 476.97, 657.76 and 311.33

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Solution

The fourth proportional to 476.97, 657.76 and 311.33 is: 429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.97 : 657.76 = 311.33 : x
  2. Step 2: Convert to fraction form
    476.97/657.76 = 311.33/x
  3. Step 3: Cross multiply
    476.97x = 657.76 × 311.33
  4. Step 4: Simplify right side
    476.97x = 204,780.42
  5. Step 5: Solve for x
    x = 204,780.42/476.97
  6. Step 6: Final answer
    x = 429.34

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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.