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Finding the Fourth Proportional to 369.11, 509.40 and 213.89

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Solution

The fourth proportional to 369.11, 509.40 and 213.89 is: 295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.11 : 509.40 = 213.89 : x
  2. Step 2: Convert to fraction form
    369.11/509.40 = 213.89/x
  3. Step 3: Cross multiply
    369.11x = 509.40 × 213.89
  4. Step 4: Simplify right side
    369.11x = 108,955.57
  5. Step 5: Solve for x
    x = 108,955.57/369.11
  6. Step 6: Final answer
    x = 295.18

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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.