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Finding the Fourth Proportional to 357.82, 494.73 and 316.78

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Solution

The fourth proportional to 357.82, 494.73 and 316.78 is: 437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.82 : 494.73 = 316.78 : x
  2. Step 2: Convert to fraction form
    357.82/494.73 = 316.78/x
  3. Step 3: Cross multiply
    357.82x = 494.73 × 316.78
  4. Step 4: Simplify right side
    357.82x = 156,720.57
  5. Step 5: Solve for x
    x = 156,720.57/357.82
  6. Step 6: Final answer
    x = 437.99

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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.