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Finding the Fourth Proportional to 958.61, 1,438.02 and 342.23

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Solution

The fourth proportional to 958.61, 1,438.02 and 342.23 is: 513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.61 : 1,438.02 = 342.23 : x
  2. Step 2: Convert to fraction form
    958.61/1,438.02 = 342.23/x
  3. Step 3: Cross multiply
    958.61x = 1,438.02 × 342.23
  4. Step 4: Simplify right side
    958.61x = 492,126.39
  5. Step 5: Solve for x
    x = 492,126.39/958.61
  6. Step 6: Final answer
    x = 513.37

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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.