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Finding the Fourth Proportional to 698.20, 1,046.68 and 333.43

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Solution

The fourth proportional to 698.20, 1,046.68 and 333.43 is: 499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.20 : 1,046.68 = 333.43 : x
  2. Step 2: Convert to fraction form
    698.20/1,046.68 = 333.43/x
  3. Step 3: Cross multiply
    698.20x = 1,046.68 × 333.43
  4. Step 4: Simplify right side
    698.20x = 348,994.51
  5. Step 5: Solve for x
    x = 348,994.51/698.20
  6. Step 6: Final answer
    x = 499.85

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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.