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Finding the Fourth Proportional to 857.24, 1,285.86 and 309.43

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Solution

The fourth proportional to 857.24, 1,285.86 and 309.43 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.24 : 1,285.86 = 309.43 : x
  2. Step 2: Convert to fraction form
    857.24/1,285.86 = 309.43/x
  3. Step 3: Cross multiply
    857.24x = 1,285.86 × 309.43
  4. Step 4: Simplify right side
    857.24x = 397,878.00
  5. Step 5: Solve for x
    x = 397,878.00/857.24
  6. Step 6: Final answer
    x = 464.14

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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.