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Finding the Fourth Proportional to 470.24, 648.96 and 263.24

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Solution

The fourth proportional to 470.24, 648.96 and 263.24 is: 363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 648.96 = 263.24 : x
  2. Step 2: Convert to fraction form
    470.24/648.96 = 263.24/x
  3. Step 3: Cross multiply
    470.24x = 648.96 × 263.24
  4. Step 4: Simplify right side
    470.24x = 170,832.23
  5. Step 5: Solve for x
    x = 170,832.23/470.24
  6. Step 6: Final answer
    x = 363.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.