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Finding the Fourth Proportional to 556.90, 834.23 and 441.54

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Solution

The fourth proportional to 556.90, 834.23 and 441.54 is: 661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.90 : 834.23 = 441.54 : x
  2. Step 2: Convert to fraction form
    556.90/834.23 = 441.54/x
  3. Step 3: Cross multiply
    556.90x = 834.23 × 441.54
  4. Step 4: Simplify right side
    556.90x = 368,347.02
  5. Step 5: Solve for x
    x = 368,347.02/556.90
  6. Step 6: Final answer
    x = 661.43

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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.