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Finding the Fourth Proportional to 697.80, 962.87 and 449.46

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Solution

The fourth proportional to 697.80, 962.87 and 449.46 is: 620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.80 : 962.87 = 449.46 : x
  2. Step 2: Convert to fraction form
    697.80/962.87 = 449.46/x
  3. Step 3: Cross multiply
    697.80x = 962.87 × 449.46
  4. Step 4: Simplify right side
    697.80x = 432,769.30
  5. Step 5: Solve for x
    x = 432,769.30/697.80
  6. Step 6: Final answer
    x = 620.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.