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Finding the Fourth Proportional to 473.31, 652.68 and 323.78

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Solution

The fourth proportional to 473.31, 652.68 and 323.78 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.31 : 652.68 = 323.78 : x
  2. Step 2: Convert to fraction form
    473.31/652.68 = 323.78/x
  3. Step 3: Cross multiply
    473.31x = 652.68 × 323.78
  4. Step 4: Simplify right side
    473.31x = 211,321.47
  5. Step 5: Solve for x
    x = 211,321.47/473.31
  6. Step 6: Final answer
    x = 446.48

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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.