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Finding the Fourth Proportional to 385.85, 532.48 and 220.06

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Solution

The fourth proportional to 385.85, 532.48 and 220.06 is: 303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.85 : 532.48 = 220.06 : x
  2. Step 2: Convert to fraction form
    385.85/532.48 = 220.06/x
  3. Step 3: Cross multiply
    385.85x = 532.48 × 220.06
  4. Step 4: Simplify right side
    385.85x = 117,177.55
  5. Step 5: Solve for x
    x = 117,177.55/385.85
  6. Step 6: Final answer
    x = 303.69

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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.