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Finding the Fourth Proportional to 858.09, 1,286.99 and 310.13

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Solution

The fourth proportional to 858.09, 1,286.99 and 310.13 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.09 : 1,286.99 = 310.13 : x
  2. Step 2: Convert to fraction form
    858.09/1,286.99 = 310.13/x
  3. Step 3: Cross multiply
    858.09x = 1,286.99 × 310.13
  4. Step 4: Simplify right side
    858.09x = 399,132.21
  5. Step 5: Solve for x
    x = 399,132.21/858.09
  6. Step 6: Final answer
    x = 465.14

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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.