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Finding the Fourth Proportional to 385.65, 532.17 and 219.84

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Solution

The fourth proportional to 385.65, 532.17 and 219.84 is: 303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.65 : 532.17 = 219.84 : x
  2. Step 2: Convert to fraction form
    385.65/532.17 = 219.84/x
  3. Step 3: Cross multiply
    385.65x = 532.17 × 219.84
  4. Step 4: Simplify right side
    385.65x = 116,992.25
  5. Step 5: Solve for x
    x = 116,992.25/385.65
  6. Step 6: Final answer
    x = 303.36

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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.