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Finding the Fourth Proportional to 385.53, 532.02 and 219.75

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Solution

The fourth proportional to 385.53, 532.02 and 219.75 is: 303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.53 : 532.02 = 219.75 : x
  2. Step 2: Convert to fraction form
    385.53/532.02 = 219.75/x
  3. Step 3: Cross multiply
    385.53x = 532.02 × 219.75
  4. Step 4: Simplify right side
    385.53x = 116,911.40
  5. Step 5: Solve for x
    x = 116,911.40/385.53
  6. Step 6: Final answer
    x = 303.25

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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.