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Finding the Fourth Proportional to 385.78, 532.57 and 238.50

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Solution

The fourth proportional to 385.78, 532.57 and 238.50 is: 329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.78 : 532.57 = 238.50 : x
  2. Step 2: Convert to fraction form
    385.78/532.57 = 238.50/x
  3. Step 3: Cross multiply
    385.78x = 532.57 × 238.50
  4. Step 4: Simplify right side
    385.78x = 127,017.95
  5. Step 5: Solve for x
    x = 127,017.95/385.78
  6. Step 6: Final answer
    x = 329.25

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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.