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Finding the Fourth Proportional to 488.39, 733.19 and 451.94

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Solution

The fourth proportional to 488.39, 733.19 and 451.94 is: 678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.39 : 733.19 = 451.94 : x
  2. Step 2: Convert to fraction form
    488.39/733.19 = 451.94/x
  3. Step 3: Cross multiply
    488.39x = 733.19 × 451.94
  4. Step 4: Simplify right side
    488.39x = 331,351.96
  5. Step 5: Solve for x
    x = 331,351.96/488.39
  6. Step 6: Final answer
    x = 678.46

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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.