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Finding the Fourth Proportional to 369.05, 509.29 and 209.57

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Solution

The fourth proportional to 369.05, 509.29 and 209.57 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.05 : 509.29 = 209.57 : x
  2. Step 2: Convert to fraction form
    369.05/509.29 = 209.57/x
  3. Step 3: Cross multiply
    369.05x = 509.29 × 209.57
  4. Step 4: Simplify right side
    369.05x = 106,729.59
  5. Step 5: Solve for x
    x = 106,729.59/369.05
  6. Step 6: Final answer
    x = 289.20

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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.