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Finding the Fourth Proportional to 556.68, 833.81 and 231.06

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Solution

The fourth proportional to 556.68, 833.81 and 231.06 is: 346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.68 : 833.81 = 231.06 : x
  2. Step 2: Convert to fraction form
    556.68/833.81 = 231.06/x
  3. Step 3: Cross multiply
    556.68x = 833.81 × 231.06
  4. Step 4: Simplify right side
    556.68x = 192,658.98
  5. Step 5: Solve for x
    x = 192,658.98/556.68
  6. Step 6: Final answer
    x = 346.09

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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.