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Finding the Fourth Proportional to 623.52, 935.10 and 212.56

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Solution

The fourth proportional to 623.52, 935.10 and 212.56 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.52 : 935.10 = 212.56 : x
  2. Step 2: Convert to fraction form
    623.52/935.10 = 212.56/x
  3. Step 3: Cross multiply
    623.52x = 935.10 × 212.56
  4. Step 4: Simplify right side
    623.52x = 198,767.73
  5. Step 5: Solve for x
    x = 198,767.73/623.52
  6. Step 6: Final answer
    x = 318.78

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Why These Related Problems?

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