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Finding the Fourth Proportional to 370.19, 510.57 and 238.97

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Solution

The fourth proportional to 370.19, 510.57 and 238.97 is: 329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.19 : 510.57 = 238.97 : x
  2. Step 2: Convert to fraction form
    370.19/510.57 = 238.97/x
  3. Step 3: Cross multiply
    370.19x = 510.57 × 238.97
  4. Step 4: Simplify right side
    370.19x = 122,012.19
  5. Step 5: Solve for x
    x = 122,012.19/370.19
  6. Step 6: Final answer
    x = 329.59

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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.