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Finding the Fourth Proportional to 386.10, 535.06 and 378.80

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Solution

The fourth proportional to 386.10, 535.06 and 378.80 is: 524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.10 : 535.06 = 378.80 : x
  2. Step 2: Convert to fraction form
    386.10/535.06 = 378.80/x
  3. Step 3: Cross multiply
    386.10x = 535.06 × 378.80
  4. Step 4: Simplify right side
    386.10x = 202,680.73
  5. Step 5: Solve for x
    x = 202,680.73/386.10
  6. Step 6: Final answer
    x = 524.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.