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Finding the Fourth Proportional to 385.93, 532.50 and 220.13

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Solution

The fourth proportional to 385.93, 532.50 and 220.13 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.93 : 532.50 = 220.13 : x
  2. Step 2: Convert to fraction form
    385.93/532.50 = 220.13/x
  3. Step 3: Cross multiply
    385.93x = 532.50 × 220.13
  4. Step 4: Simplify right side
    385.93x = 117,220.73
  5. Step 5: Solve for x
    x = 117,220.73/385.93
  6. Step 6: Final answer
    x = 303.74

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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.