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Finding the Fourth Proportional to 470.30, 648.31 and 302.23

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Solution

The fourth proportional to 470.30, 648.31 and 302.23 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.30 : 648.31 = 302.23 : x
  2. Step 2: Convert to fraction form
    470.30/648.31 = 302.23/x
  3. Step 3: Cross multiply
    470.30x = 648.31 × 302.23
  4. Step 4: Simplify right side
    470.30x = 195,938.73
  5. Step 5: Solve for x
    x = 195,938.73/470.30
  6. Step 6: Final answer
    x = 416.62

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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.