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Finding the Fourth Proportional to 497.68, 687.16 and 323.12

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Solution

The fourth proportional to 497.68, 687.16 and 323.12 is: 446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 687.16 = 323.12 : x
  2. Step 2: Convert to fraction form
    497.68/687.16 = 323.12/x
  3. Step 3: Cross multiply
    497.68x = 687.16 × 323.12
  4. Step 4: Simplify right side
    497.68x = 222,035.14
  5. Step 5: Solve for x
    x = 222,035.14/497.68
  6. Step 6: Final answer
    x = 446.14

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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.