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Finding the Fourth Proportional to 858.38, 1,287.74 and 310.64

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Solution

The fourth proportional to 858.38, 1,287.74 and 310.64 is: 466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.38 : 1,287.74 = 310.64 : x
  2. Step 2: Convert to fraction form
    858.38/1,287.74 = 310.64/x
  3. Step 3: Cross multiply
    858.38x = 1,287.74 × 310.64
  4. Step 4: Simplify right side
    858.38x = 400,023.55
  5. Step 5: Solve for x
    x = 400,023.55/858.38
  6. Step 6: Final answer
    x = 466.02

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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.