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Finding the Fourth Proportional to 478.73, 660.57 and 301.38

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Solution

The fourth proportional to 478.73, 660.57 and 301.38 is: 415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.73 : 660.57 = 301.38 : x
  2. Step 2: Convert to fraction form
    478.73/660.57 = 301.38/x
  3. Step 3: Cross multiply
    478.73x = 660.57 × 301.38
  4. Step 4: Simplify right side
    478.73x = 199,081.46
  5. Step 5: Solve for x
    x = 199,081.46/478.73
  6. Step 6: Final answer
    x = 415.85

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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.