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Finding the Fourth Proportional to 858.39, 1,288.26 and 311.10

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Solution

The fourth proportional to 858.39, 1,288.26 and 311.10 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.39 : 1,288.26 = 311.10 : x
  2. Step 2: Convert to fraction form
    858.39/1,288.26 = 311.10/x
  3. Step 3: Cross multiply
    858.39x = 1,288.26 × 311.10
  4. Step 4: Simplify right side
    858.39x = 400,777.69
  5. Step 5: Solve for x
    x = 400,777.69/858.39
  6. Step 6: Final answer
    x = 466.89

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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.