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Finding the Fourth Proportional to 698.98, 1,047.24 and 333.28

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Solution

The fourth proportional to 698.98, 1,047.24 and 333.28 is: 499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.98 : 1,047.24 = 333.28 : x
  2. Step 2: Convert to fraction form
    698.98/1,047.24 = 333.28/x
  3. Step 3: Cross multiply
    698.98x = 1,047.24 × 333.28
  4. Step 4: Simplify right side
    698.98x = 349,024.15
  5. Step 5: Solve for x
    x = 349,024.15/698.98
  6. Step 6: Final answer
    x = 499.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.