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Finding the Fourth Proportional to 493.79, 680.67 and 369.26

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Solution

The fourth proportional to 493.79, 680.67 and 369.26 is: 509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.79 : 680.67 = 369.26 : x
  2. Step 2: Convert to fraction form
    493.79/680.67 = 369.26/x
  3. Step 3: Cross multiply
    493.79x = 680.67 × 369.26
  4. Step 4: Simplify right side
    493.79x = 251,344.20
  5. Step 5: Solve for x
    x = 251,344.20/493.79
  6. Step 6: Final answer
    x = 509.01

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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.