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Finding the Fourth Proportional to 369.01, 509.20 and 213.73

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Solution

The fourth proportional to 369.01, 509.20 and 213.73 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.01 : 509.20 = 213.73 : x
  2. Step 2: Convert to fraction form
    369.01/509.20 = 213.73/x
  3. Step 3: Cross multiply
    369.01x = 509.20 × 213.73
  4. Step 4: Simplify right side
    369.01x = 108,831.32
  5. Step 5: Solve for x
    x = 108,831.32/369.01
  6. Step 6: Final answer
    x = 294.93

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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.