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Finding the Fourth Proportional to 857.93, 1,286.70 and 241.67

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Solution

The fourth proportional to 857.93, 1,286.70 and 241.67 is: 362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.93 : 1,286.70 = 241.67 : x
  2. Step 2: Convert to fraction form
    857.93/1,286.70 = 241.67/x
  3. Step 3: Cross multiply
    857.93x = 1,286.70 × 241.67
  4. Step 4: Simplify right side
    857.93x = 310,950.36
  5. Step 5: Solve for x
    x = 310,950.36/857.93
  6. Step 6: Final answer
    x = 362.44

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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.