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Finding the Fourth Proportional to 857.90, 1,286.85 and 310.08

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Solution

The fourth proportional to 857.90, 1,286.85 and 310.08 is: 465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.90 : 1,286.85 = 310.08 : x
  2. Step 2: Convert to fraction form
    857.90/1,286.85 = 310.08/x
  3. Step 3: Cross multiply
    857.90x = 1,286.85 × 310.08
  4. Step 4: Simplify right side
    857.90x = 399,025.29
  5. Step 5: Solve for x
    x = 399,025.29/857.90
  6. Step 6: Final answer
    x = 465.12

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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.