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Finding the Fourth Proportional to 858.08, 1,286.89 and 310.16

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Solution

The fourth proportional to 858.08, 1,286.89 and 310.16 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.08 : 1,286.89 = 310.16 : x
  2. Step 2: Convert to fraction form
    858.08/1,286.89 = 310.16/x
  3. Step 3: Cross multiply
    858.08x = 1,286.89 × 310.16
  4. Step 4: Simplify right side
    858.08x = 399,141.80
  5. Step 5: Solve for x
    x = 399,141.80/858.08
  6. Step 6: Final answer
    x = 465.16

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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.