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Finding the Fourth Proportional to 357.89, 493.86 and 208.49

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Solution

The fourth proportional to 357.89, 493.86 and 208.49 is: 287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.89 : 493.86 = 208.49 : x
  2. Step 2: Convert to fraction form
    357.89/493.86 = 208.49/x
  3. Step 3: Cross multiply
    357.89x = 493.86 × 208.49
  4. Step 4: Simplify right side
    357.89x = 102,964.87
  5. Step 5: Solve for x
    x = 102,964.87/357.89
  6. Step 6: Final answer
    x = 287.70

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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.