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Finding the Fourth Proportional to 857.94, 1,287.45 and 310.16

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Solution

The fourth proportional to 857.94, 1,287.45 and 310.16 is: 465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.94 : 1,287.45 = 310.16 : x
  2. Step 2: Convert to fraction form
    857.94/1,287.45 = 310.16/x
  3. Step 3: Cross multiply
    857.94x = 1,287.45 × 310.16
  4. Step 4: Simplify right side
    857.94x = 399,309.05
  5. Step 5: Solve for x
    x = 399,309.05/857.94
  6. Step 6: Final answer
    x = 465.43

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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.