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Finding the Fourth Proportional to 315.64, 472.92 and 212.52

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Solution

The fourth proportional to 315.64, 472.92 and 212.52 is: 318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.64 : 472.92 = 212.52 : x
  2. Step 2: Convert to fraction form
    315.64/472.92 = 212.52/x
  3. Step 3: Cross multiply
    315.64x = 472.92 × 212.52
  4. Step 4: Simplify right side
    315.64x = 100,504.96
  5. Step 5: Solve for x
    x = 100,504.96/315.64
  6. Step 6: Final answer
    x = 318.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.