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Finding the Fourth Proportional to 385.21, 531.41 and 237.79

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Solution

The fourth proportional to 385.21, 531.41 and 237.79 is: 328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.21 : 531.41 = 237.79 : x
  2. Step 2: Convert to fraction form
    385.21/531.41 = 237.79/x
  3. Step 3: Cross multiply
    385.21x = 531.41 × 237.79
  4. Step 4: Simplify right side
    385.21x = 126,363.98
  5. Step 5: Solve for x
    x = 126,363.98/385.21
  6. Step 6: Final answer
    x = 328.04

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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.