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Finding the Fourth Proportional to 385.56, 532.20 and 365.97

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Solution

The fourth proportional to 385.56, 532.20 and 365.97 is: 505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.56 : 532.20 = 365.97 : x
  2. Step 2: Convert to fraction form
    385.56/532.20 = 365.97/x
  3. Step 3: Cross multiply
    385.56x = 532.20 × 365.97
  4. Step 4: Simplify right side
    385.56x = 194,769.23
  5. Step 5: Solve for x
    x = 194,769.23/385.56
  6. Step 6: Final answer
    x = 505.16

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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.