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Finding the Fourth Proportional to 497.58, 687.08 and 323.24

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Solution

The fourth proportional to 497.58, 687.08 and 323.24 is: 446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 687.08 = 323.24 : x
  2. Step 2: Convert to fraction form
    497.58/687.08 = 323.24/x
  3. Step 3: Cross multiply
    497.58x = 687.08 × 323.24
  4. Step 4: Simplify right side
    497.58x = 222,091.74
  5. Step 5: Solve for x
    x = 222,091.74/497.58
  6. Step 6: Final answer
    x = 446.34

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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.