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Finding the Fourth Proportional to 478.23, 716.73 and 231.29

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Solution

The fourth proportional to 478.23, 716.73 and 231.29 is: 346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.23 : 716.73 = 231.29 : x
  2. Step 2: Convert to fraction form
    478.23/716.73 = 231.29/x
  3. Step 3: Cross multiply
    478.23x = 716.73 × 231.29
  4. Step 4: Simplify right side
    478.23x = 165,768.90
  5. Step 5: Solve for x
    x = 165,768.90/478.23
  6. Step 6: Final answer
    x = 346.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.