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Finding the Fourth Proportional to 357.81, 493.82 and 217.94

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Solution

The fourth proportional to 357.81, 493.82 and 217.94 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.81 : 493.82 = 217.94 : x
  2. Step 2: Convert to fraction form
    357.81/493.82 = 217.94/x
  3. Step 3: Cross multiply
    357.81x = 493.82 × 217.94
  4. Step 4: Simplify right side
    357.81x = 107,619.57
  5. Step 5: Solve for x
    x = 107,619.57/357.81
  6. Step 6: Final answer
    x = 300.77

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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.