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Finding the Fourth Proportional to 556.09, 834.10 and 190.89

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Solution

The fourth proportional to 556.09, 834.10 and 190.89 is: 286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.09 : 834.10 = 190.89 : x
  2. Step 2: Convert to fraction form
    556.09/834.10 = 190.89/x
  3. Step 3: Cross multiply
    556.09x = 834.10 × 190.89
  4. Step 4: Simplify right side
    556.09x = 159,220.87
  5. Step 5: Solve for x
    x = 159,220.87/556.09
  6. Step 6: Final answer
    x = 286.32

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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.