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Finding the Fourth Proportional to 493.57, 680.97 and 297.01

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Solution

The fourth proportional to 493.57, 680.97 and 297.01 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.57 : 680.97 = 297.01 : x
  2. Step 2: Convert to fraction form
    493.57/680.97 = 297.01/x
  3. Step 3: Cross multiply
    493.57x = 680.97 × 297.01
  4. Step 4: Simplify right side
    493.57x = 202,254.90
  5. Step 5: Solve for x
    x = 202,254.90/493.57
  6. Step 6: Final answer
    x = 409.78

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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.