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Finding the Fourth Proportional to 493.57, 680.73 and 297.04

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Solution

The fourth proportional to 493.57, 680.73 and 297.04 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.57 : 680.73 = 297.04 : x
  2. Step 2: Convert to fraction form
    493.57/680.73 = 297.04/x
  3. Step 3: Cross multiply
    493.57x = 680.73 × 297.04
  4. Step 4: Simplify right side
    493.57x = 202,204.04
  5. Step 5: Solve for x
    x = 202,204.04/493.57
  6. Step 6: Final answer
    x = 409.68

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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.