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Finding the Fourth Proportional to 364.28, 502.71 and 209.03

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Solution

The fourth proportional to 364.28, 502.71 and 209.03 is: 288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 502.71 = 209.03 : x
  2. Step 2: Convert to fraction form
    364.28/502.71 = 209.03/x
  3. Step 3: Cross multiply
    364.28x = 502.71 × 209.03
  4. Step 4: Simplify right side
    364.28x = 105,081.47
  5. Step 5: Solve for x
    x = 105,081.47/364.28
  6. Step 6: Final answer
    x = 288.46

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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.