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Finding the Fourth Proportional to 487.76, 673.16 and 330.96

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Solution

The fourth proportional to 487.76, 673.16 and 330.96 is: 456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.76 : 673.16 = 330.96 : x
  2. Step 2: Convert to fraction form
    487.76/673.16 = 330.96/x
  3. Step 3: Cross multiply
    487.76x = 673.16 × 330.96
  4. Step 4: Simplify right side
    487.76x = 222,789.03
  5. Step 5: Solve for x
    x = 222,789.03/487.76
  6. Step 6: Final answer
    x = 456.76

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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.