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Finding the Fourth Proportional to 857.31, 1,285.93 and 241.05

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Solution

The fourth proportional to 857.31, 1,285.93 and 241.05 is: 361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.31 : 1,285.93 = 241.05 : x
  2. Step 2: Convert to fraction form
    857.31/1,285.93 = 241.05/x
  3. Step 3: Cross multiply
    857.31x = 1,285.93 × 241.05
  4. Step 4: Simplify right side
    857.31x = 309,973.43
  5. Step 5: Solve for x
    x = 309,973.43/857.31
  6. Step 6: Final answer
    x = 361.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.