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Finding the Fourth Proportional to 626.34, 938.46 and 442.89

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Solution

The fourth proportional to 626.34, 938.46 and 442.89 is: 663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.34 : 938.46 = 442.89 : x
  2. Step 2: Convert to fraction form
    626.34/938.46 = 442.89/x
  3. Step 3: Cross multiply
    626.34x = 938.46 × 442.89
  4. Step 4: Simplify right side
    626.34x = 415,634.55
  5. Step 5: Solve for x
    x = 415,634.55/626.34
  6. Step 6: Final answer
    x = 663.59

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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.