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Finding the Fourth Proportional to 386.05, 532.75 and 209.01

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Solution

The fourth proportional to 386.05, 532.75 and 209.01 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.05 : 532.75 = 209.01 : x
  2. Step 2: Convert to fraction form
    386.05/532.75 = 209.01/x
  3. Step 3: Cross multiply
    386.05x = 532.75 × 209.01
  4. Step 4: Simplify right side
    386.05x = 111,347.70
  5. Step 5: Solve for x
    x = 111,347.70/386.05
  6. Step 6: Final answer
    x = 288.43

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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.