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Finding the Fourth Proportional to 698.09, 1,046.39 and 332.37

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Solution

The fourth proportional to 698.09, 1,046.39 and 332.37 is: 498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.09 : 1,046.39 = 332.37 : x
  2. Step 2: Convert to fraction form
    698.09/1,046.39 = 332.37/x
  3. Step 3: Cross multiply
    698.09x = 1,046.39 × 332.37
  4. Step 4: Simplify right side
    698.09x = 347,786.98
  5. Step 5: Solve for x
    x = 347,786.98/698.09
  6. Step 6: Final answer
    x = 498.20

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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.