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Finding the Fourth Proportional to 360.93, 498.09 and 205.68

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Solution

The fourth proportional to 360.93, 498.09 and 205.68 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.93 : 498.09 = 205.68 : x
  2. Step 2: Convert to fraction form
    360.93/498.09 = 205.68/x
  3. Step 3: Cross multiply
    360.93x = 498.09 × 205.68
  4. Step 4: Simplify right side
    360.93x = 102,447.15
  5. Step 5: Solve for x
    x = 102,447.15/360.93
  6. Step 6: Final answer
    x = 283.84

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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.