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Finding the Fourth Proportional to 476.82, 657.86 and 311.25

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Solution

The fourth proportional to 476.82, 657.86 and 311.25 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.82 : 657.86 = 311.25 : x
  2. Step 2: Convert to fraction form
    476.82/657.86 = 311.25/x
  3. Step 3: Cross multiply
    476.82x = 657.86 × 311.25
  4. Step 4: Simplify right side
    476.82x = 204,757.37
  5. Step 5: Solve for x
    x = 204,757.37/476.82
  6. Step 6: Final answer
    x = 429.42

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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.