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Finding the Fourth Proportional to 385.46, 531.96 and 238.02

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Solution

The fourth proportional to 385.46, 531.96 and 238.02 is: 328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.46 : 531.96 = 238.02 : x
  2. Step 2: Convert to fraction form
    385.46/531.96 = 238.02/x
  3. Step 3: Cross multiply
    385.46x = 531.96 × 238.02
  4. Step 4: Simplify right side
    385.46x = 126,614.23
  5. Step 5: Solve for x
    x = 126,614.23/385.46
  6. Step 6: Final answer
    x = 328.48

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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.