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Finding the Fourth Proportional to 364.97, 503.67 and 209.72

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Solution

The fourth proportional to 364.97, 503.67 and 209.72 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.97 : 503.67 = 209.72 : x
  2. Step 2: Convert to fraction form
    364.97/503.67 = 209.72/x
  3. Step 3: Cross multiply
    364.97x = 503.67 × 209.72
  4. Step 4: Simplify right side
    364.97x = 105,627.15
  5. Step 5: Solve for x
    x = 105,627.15/364.97
  6. Step 6: Final answer
    x = 289.42

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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.