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Finding the Fourth Proportional to 385.30, 531.80 and 238.06

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Solution

The fourth proportional to 385.30, 531.80 and 238.06 is: 328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.30 : 531.80 = 238.06 : x
  2. Step 2: Convert to fraction form
    385.30/531.80 = 238.06/x
  3. Step 3: Cross multiply
    385.30x = 531.80 × 238.06
  4. Step 4: Simplify right side
    385.30x = 126,600.31
  5. Step 5: Solve for x
    x = 126,600.31/385.30
  6. Step 6: Final answer
    x = 328.58

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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.