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Finding the Fourth Proportional to 364.36, 502.86 and 209.14

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Solution

The fourth proportional to 364.36, 502.86 and 209.14 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.36 : 502.86 = 209.14 : x
  2. Step 2: Convert to fraction form
    364.36/502.86 = 209.14/x
  3. Step 3: Cross multiply
    364.36x = 502.86 × 209.14
  4. Step 4: Simplify right side
    364.36x = 105,168.14
  5. Step 5: Solve for x
    x = 105,168.14/364.36
  6. Step 6: Final answer
    x = 288.64

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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.