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Finding the Fourth Proportional to 493.90, 681.62 and 369.97

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Solution

The fourth proportional to 493.90, 681.62 and 369.97 is: 510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.90 : 681.62 = 369.97 : x
  2. Step 2: Convert to fraction form
    493.90/681.62 = 369.97/x
  3. Step 3: Cross multiply
    493.90x = 681.62 × 369.97
  4. Step 4: Simplify right side
    493.90x = 252,175.40
  5. Step 5: Solve for x
    x = 252,175.40/493.90
  6. Step 6: Final answer
    x = 510.58

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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.