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Finding the Fourth Proportional to 385.64, 532.18 and 219.85

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Solution

The fourth proportional to 385.64, 532.18 and 219.85 is: 303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.64 : 532.18 = 219.85 : x
  2. Step 2: Convert to fraction form
    385.64/532.18 = 219.85/x
  3. Step 3: Cross multiply
    385.64x = 532.18 × 219.85
  4. Step 4: Simplify right side
    385.64x = 116,997.89
  5. Step 5: Solve for x
    x = 116,997.89/385.64
  6. Step 6: Final answer
    x = 303.38

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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.