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Finding the Fourth Proportional to 556.68, 835.20 and 465.96

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Solution

The fourth proportional to 556.68, 835.20 and 465.96 is: 699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.68 : 835.20 = 465.96 : x
  2. Step 2: Convert to fraction form
    556.68/835.20 = 465.96/x
  3. Step 3: Cross multiply
    556.68x = 835.20 × 465.96
  4. Step 4: Simplify right side
    556.68x = 389,169.79
  5. Step 5: Solve for x
    x = 389,169.79/556.68
  6. Step 6: Final answer
    x = 699.09

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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.