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Finding the Fourth Proportional to 958.72, 1,438.24 and 342.78

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Solution

The fourth proportional to 958.72, 1,438.24 and 342.78 is: 514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.72 : 1,438.24 = 342.78 : x
  2. Step 2: Convert to fraction form
    958.72/1,438.24 = 342.78/x
  3. Step 3: Cross multiply
    958.72x = 1,438.24 × 342.78
  4. Step 4: Simplify right side
    958.72x = 492,999.91
  5. Step 5: Solve for x
    x = 492,999.91/958.72
  6. Step 6: Final answer
    x = 514.23

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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.