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Finding the Fourth Proportional to 462.73, 638.66 and 305.37

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Solution

The fourth proportional to 462.73, 638.66 and 305.37 is: 421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.73 : 638.66 = 305.37 : x
  2. Step 2: Convert to fraction form
    462.73/638.66 = 305.37/x
  3. Step 3: Cross multiply
    462.73x = 638.66 × 305.37
  4. Step 4: Simplify right side
    462.73x = 195,026.02
  5. Step 5: Solve for x
    x = 195,026.02/462.73
  6. Step 6: Final answer
    x = 421.47

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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.