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Finding the Fourth Proportional to 497.73, 687.03 and 323.10

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Solution

The fourth proportional to 497.73, 687.03 and 323.10 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.73 : 687.03 = 323.10 : x
  2. Step 2: Convert to fraction form
    497.73/687.03 = 323.10/x
  3. Step 3: Cross multiply
    497.73x = 687.03 × 323.10
  4. Step 4: Simplify right side
    497.73x = 221,979.39
  5. Step 5: Solve for x
    x = 221,979.39/497.73
  6. Step 6: Final answer
    x = 445.98

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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.