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Finding the Fourth Proportional to 369.41, 509.81 and 212.06

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Solution

The fourth proportional to 369.41, 509.81 and 212.06 is: 292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.41 : 509.81 = 212.06 : x
  2. Step 2: Convert to fraction form
    369.41/509.81 = 212.06/x
  3. Step 3: Cross multiply
    369.41x = 509.81 × 212.06
  4. Step 4: Simplify right side
    369.41x = 108,110.52
  5. Step 5: Solve for x
    x = 108,110.52/369.41
  6. Step 6: Final answer
    x = 292.66

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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.