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Finding the Fourth Proportional to 378.06, 521.70 and 212.29

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Solution

The fourth proportional to 378.06, 521.70 and 212.29 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.06 : 521.70 = 212.29 : x
  2. Step 2: Convert to fraction form
    378.06/521.70 = 212.29/x
  3. Step 3: Cross multiply
    378.06x = 521.70 × 212.29
  4. Step 4: Simplify right side
    378.06x = 110,749.86
  5. Step 5: Solve for x
    x = 110,749.86/378.06
  6. Step 6: Final answer
    x = 292.95

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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.