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Finding the Fourth Proportional to 380.00, 524.39 and 205.34

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Solution

The fourth proportional to 380.00, 524.39 and 205.34 is: 283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.00 : 524.39 = 205.34 : x
  2. Step 2: Convert to fraction form
    380.00/524.39 = 205.34/x
  3. Step 3: Cross multiply
    380.00x = 524.39 × 205.34
  4. Step 4: Simplify right side
    380.00x = 107,678.54
  5. Step 5: Solve for x
    x = 107,678.54/380.00
  6. Step 6: Final answer
    x = 283.37

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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.