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Finding the Fourth Proportional to 493.83, 680.90 and 297.27

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Solution

The fourth proportional to 493.83, 680.90 and 297.27 is: 409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.83 : 680.90 = 297.27 : x
  2. Step 2: Convert to fraction form
    493.83/680.90 = 297.27/x
  3. Step 3: Cross multiply
    493.83x = 680.90 × 297.27
  4. Step 4: Simplify right side
    493.83x = 202,411.14
  5. Step 5: Solve for x
    x = 202,411.14/493.83
  6. Step 6: Final answer
    x = 409.88

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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.