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Finding the Fourth Proportional to 385.50, 531.98 and 219.74

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Solution

The fourth proportional to 385.50, 531.98 and 219.74 is: 303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 531.98 = 219.74 : x
  2. Step 2: Convert to fraction form
    385.50/531.98 = 219.74/x
  3. Step 3: Cross multiply
    385.50x = 531.98 × 219.74
  4. Step 4: Simplify right side
    385.50x = 116,893.53
  5. Step 5: Solve for x
    x = 116,893.53/385.50
  6. Step 6: Final answer
    x = 303.23

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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.