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Finding the Fourth Proportional to 493.14, 680.14 and 306.52

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Solution

The fourth proportional to 493.14, 680.14 and 306.52 is: 422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.14 : 680.14 = 306.52 : x
  2. Step 2: Convert to fraction form
    493.14/680.14 = 306.52/x
  3. Step 3: Cross multiply
    493.14x = 680.14 × 306.52
  4. Step 4: Simplify right side
    493.14x = 208,476.51
  5. Step 5: Solve for x
    x = 208,476.51/493.14
  6. Step 6: Final answer
    x = 422.75

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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.