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Finding the Fourth Proportional to 370.41, 511.19 and 213.06

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Solution

The fourth proportional to 370.41, 511.19 and 213.06 is: 294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.41 : 511.19 = 213.06 : x
  2. Step 2: Convert to fraction form
    370.41/511.19 = 213.06/x
  3. Step 3: Cross multiply
    370.41x = 511.19 × 213.06
  4. Step 4: Simplify right side
    370.41x = 108,914.14
  5. Step 5: Solve for x
    x = 108,914.14/370.41
  6. Step 6: Final answer
    x = 294.04

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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.