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Finding the Fourth Proportional to 493.74, 681.30 and 294.57

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Solution

The fourth proportional to 493.74, 681.30 and 294.57 is: 406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.74 : 681.30 = 294.57 : x
  2. Step 2: Convert to fraction form
    493.74/681.30 = 294.57/x
  3. Step 3: Cross multiply
    493.74x = 681.30 × 294.57
  4. Step 4: Simplify right side
    493.74x = 200,690.54
  5. Step 5: Solve for x
    x = 200,690.54/493.74
  6. Step 6: Final answer
    x = 406.47

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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.