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Finding the Fourth Proportional to 958.27, 1,437.10 and 464.37

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Solution

The fourth proportional to 958.27, 1,437.10 and 464.37 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.27 : 1,437.10 = 464.37 : x
  2. Step 2: Convert to fraction form
    958.27/1,437.10 = 464.37/x
  3. Step 3: Cross multiply
    958.27x = 1,437.10 × 464.37
  4. Step 4: Simplify right side
    958.27x = 667,346.13
  5. Step 5: Solve for x
    x = 667,346.13/958.27
  6. Step 6: Final answer
    x = 696.41

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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.