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Finding the Fourth Proportional to 626.58, 938.46 and 406.65

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Solution

The fourth proportional to 626.58, 938.46 and 406.65 is: 609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.58 : 938.46 = 406.65 : x
  2. Step 2: Convert to fraction form
    626.58/938.46 = 406.65/x
  3. Step 3: Cross multiply
    626.58x = 938.46 × 406.65
  4. Step 4: Simplify right side
    626.58x = 381,624.76
  5. Step 5: Solve for x
    x = 381,624.76/626.58
  6. Step 6: Final answer
    x = 609.06

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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.