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Finding the Fourth Proportional to 556.67, 835.96 and 464.03

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Solution

The fourth proportional to 556.67, 835.96 and 464.03 is: 696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.67 : 835.96 = 464.03 : x
  2. Step 2: Convert to fraction form
    556.67/835.96 = 464.03/x
  3. Step 3: Cross multiply
    556.67x = 835.96 × 464.03
  4. Step 4: Simplify right side
    556.67x = 387,906.69
  5. Step 5: Solve for x
    x = 387,906.69/556.67
  6. Step 6: Final answer
    x = 696.83

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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.