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Finding the Fourth Proportional to 857.33, 1,285.77 and 309.41

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Solution

The fourth proportional to 857.33, 1,285.77 and 309.41 is: 464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.33 : 1,285.77 = 309.41 : x
  2. Step 2: Convert to fraction form
    857.33/1,285.77 = 309.41/x
  3. Step 3: Cross multiply
    857.33x = 1,285.77 × 309.41
  4. Step 4: Simplify right side
    857.33x = 397,830.10
  5. Step 5: Solve for x
    x = 397,830.10/857.33
  6. Step 6: Final answer
    x = 464.03

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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.