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Finding the Fourth Proportional to 386.24, 533.01 and 209.20

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Solution

The fourth proportional to 386.24, 533.01 and 209.20 is: 288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 533.01 = 209.20 : x
  2. Step 2: Convert to fraction form
    386.24/533.01 = 209.20/x
  3. Step 3: Cross multiply
    386.24x = 533.01 × 209.20
  4. Step 4: Simplify right side
    386.24x = 111,507.02
  5. Step 5: Solve for x
    x = 111,507.02/386.24
  6. Step 6: Final answer
    x = 288.70

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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.