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Finding the Fourth Proportional to 697.74, 1,045.18 and 331.41

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Solution

The fourth proportional to 697.74, 1,045.18 and 331.41 is: 496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.74 : 1,045.18 = 331.41 : x
  2. Step 2: Convert to fraction form
    697.74/1,045.18 = 331.41/x
  3. Step 3: Cross multiply
    697.74x = 1,045.18 × 331.41
  4. Step 4: Simplify right side
    697.74x = 346,383.10
  5. Step 5: Solve for x
    x = 346,383.10/697.74
  6. Step 6: Final answer
    x = 496.44

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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.