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Finding the Fourth Proportional to 357.65, 493.13 and 331.73

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Solution

The fourth proportional to 357.65, 493.13 and 331.73 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.65 : 493.13 = 331.73 : x
  2. Step 2: Convert to fraction form
    357.65/493.13 = 331.73/x
  3. Step 3: Cross multiply
    357.65x = 493.13 × 331.73
  4. Step 4: Simplify right side
    357.65x = 163,584.38
  5. Step 5: Solve for x
    x = 163,584.38/357.65
  6. Step 6: Final answer
    x = 457.39

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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.