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Finding the Fourth Proportional to 385.52, 532.05 and 219.74

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Solution

The fourth proportional to 385.52, 532.05 and 219.74 is: 303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.52 : 532.05 = 219.74 : x
  2. Step 2: Convert to fraction form
    385.52/532.05 = 219.74/x
  3. Step 3: Cross multiply
    385.52x = 532.05 × 219.74
  4. Step 4: Simplify right side
    385.52x = 116,913.41
  5. Step 5: Solve for x
    x = 116,913.41/385.52
  6. Step 6: Final answer
    x = 303.27

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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.