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Finding the Fourth Proportional to 493.18, 680.68 and 294.06

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Solution

The fourth proportional to 493.18, 680.68 and 294.06 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.18 : 680.68 = 294.06 : x
  2. Step 2: Convert to fraction form
    493.18/680.68 = 294.06/x
  3. Step 3: Cross multiply
    493.18x = 680.68 × 294.06
  4. Step 4: Simplify right side
    493.18x = 200,160.76
  5. Step 5: Solve for x
    x = 200,160.76/493.18
  6. Step 6: Final answer
    x = 405.86

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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.