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Finding the Fourth Proportional to 385.81, 532.42 and 220.02

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Solution

The fourth proportional to 385.81, 532.42 and 220.02 is: 303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.81 : 532.42 = 220.02 : x
  2. Step 2: Convert to fraction form
    385.81/532.42 = 220.02/x
  3. Step 3: Cross multiply
    385.81x = 532.42 × 220.02
  4. Step 4: Simplify right side
    385.81x = 117,142.50
  5. Step 5: Solve for x
    x = 117,142.50/385.81
  6. Step 6: Final answer
    x = 303.63

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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.