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Finding the Fourth Proportional to 417.99, 576.75 and 231.46

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Solution

The fourth proportional to 417.99, 576.75 and 231.46 is: 319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.99 : 576.75 = 231.46 : x
  2. Step 2: Convert to fraction form
    417.99/576.75 = 231.46/x
  3. Step 3: Cross multiply
    417.99x = 576.75 × 231.46
  4. Step 4: Simplify right side
    417.99x = 133,493.98
  5. Step 5: Solve for x
    x = 133,493.98/417.99
  6. Step 6: Final answer
    x = 319.37

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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.