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Finding the Fourth Proportional to 493.20, 680.76 and 369.24

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Solution

The fourth proportional to 493.20, 680.76 and 369.24 is: 509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 680.76 = 369.24 : x
  2. Step 2: Convert to fraction form
    493.20/680.76 = 369.24/x
  3. Step 3: Cross multiply
    493.20x = 680.76 × 369.24
  4. Step 4: Simplify right side
    493.20x = 251,363.82
  5. Step 5: Solve for x
    x = 251,363.82/493.20
  6. Step 6: Final answer
    x = 509.66

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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.