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Finding the Fourth Proportional to 556.89, 834.87 and 310.09

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Solution

The fourth proportional to 556.89, 834.87 and 310.09 is: 464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.89 : 834.87 = 310.09 : x
  2. Step 2: Convert to fraction form
    556.89/834.87 = 310.09/x
  3. Step 3: Cross multiply
    556.89x = 834.87 × 310.09
  4. Step 4: Simplify right side
    556.89x = 258,884.84
  5. Step 5: Solve for x
    x = 258,884.84/556.89
  6. Step 6: Final answer
    x = 464.88

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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.