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Finding the Fourth Proportional to 385.84, 532.46 and 238.54

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Solution

The fourth proportional to 385.84, 532.46 and 238.54 is: 329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.84 : 532.46 = 238.54 : x
  2. Step 2: Convert to fraction form
    385.84/532.46 = 238.54/x
  3. Step 3: Cross multiply
    385.84x = 532.46 × 238.54
  4. Step 4: Simplify right side
    385.84x = 127,013.01
  5. Step 5: Solve for x
    x = 127,013.01/385.84
  6. Step 6: Final answer
    x = 329.19

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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.