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Finding the Fourth Proportional to 470.31, 648.66 and 365.73

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Solution

The fourth proportional to 470.31, 648.66 and 365.73 is: 504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.31 : 648.66 = 365.73 : x
  2. Step 2: Convert to fraction form
    470.31/648.66 = 365.73/x
  3. Step 3: Cross multiply
    470.31x = 648.66 × 365.73
  4. Step 4: Simplify right side
    470.31x = 237,234.42
  5. Step 5: Solve for x
    x = 237,234.42/470.31
  6. Step 6: Final answer
    x = 504.42

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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.