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Finding the Fourth Proportional to 858.63, 1,287.17 and 310.42

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Solution

The fourth proportional to 858.63, 1,287.17 and 310.42 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.63 : 1,287.17 = 310.42 : x
  2. Step 2: Convert to fraction form
    858.63/1,287.17 = 310.42/x
  3. Step 3: Cross multiply
    858.63x = 1,287.17 × 310.42
  4. Step 4: Simplify right side
    858.63x = 399,563.31
  5. Step 5: Solve for x
    x = 399,563.31/858.63
  6. Step 6: Final answer
    x = 465.35

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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.