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Finding the Fourth Proportional to 386.75, 533.72 and 212.10

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Solution

The fourth proportional to 386.75, 533.72 and 212.10 is: 292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.75 : 533.72 = 212.10 : x
  2. Step 2: Convert to fraction form
    386.75/533.72 = 212.10/x
  3. Step 3: Cross multiply
    386.75x = 533.72 × 212.10
  4. Step 4: Simplify right side
    386.75x = 113,202.01
  5. Step 5: Solve for x
    x = 113,202.01/386.75
  6. Step 6: Final answer
    x = 292.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.