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Finding the Fourth Proportional to 534.36, 799.96 and 456.84

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Solution

The fourth proportional to 534.36, 799.96 and 456.84 is: 683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.36 : 799.96 = 456.84 : x
  2. Step 2: Convert to fraction form
    534.36/799.96 = 456.84/x
  3. Step 3: Cross multiply
    534.36x = 799.96 × 456.84
  4. Step 4: Simplify right side
    534.36x = 365,453.73
  5. Step 5: Solve for x
    x = 365,453.73/534.36
  6. Step 6: Final answer
    x = 683.91

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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.