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Finding the Fourth Proportional to 369.04, 509.34 and 213.80

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Solution

The fourth proportional to 369.04, 509.34 and 213.80 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.04 : 509.34 = 213.80 : x
  2. Step 2: Convert to fraction form
    369.04/509.34 = 213.80/x
  3. Step 3: Cross multiply
    369.04x = 509.34 × 213.80
  4. Step 4: Simplify right side
    369.04x = 108,896.89
  5. Step 5: Solve for x
    x = 108,896.89/369.04
  6. Step 6: Final answer
    x = 295.08

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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.