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Finding the Fourth Proportional to 385.76, 532.32 and 219.98

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Solution

The fourth proportional to 385.76, 532.32 and 219.98 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.76 : 532.32 = 219.98 : x
  2. Step 2: Convert to fraction form
    385.76/532.32 = 219.98/x
  3. Step 3: Cross multiply
    385.76x = 532.32 × 219.98
  4. Step 4: Simplify right side
    385.76x = 117,099.75
  5. Step 5: Solve for x
    x = 117,099.75/385.76
  6. Step 6: Final answer
    x = 303.56

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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.