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Finding the Fourth Proportional to 958.89, 1,438.32 and 342.61

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Solution

The fourth proportional to 958.89, 1,438.32 and 342.61 is: 513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.89 : 1,438.32 = 342.61 : x
  2. Step 2: Convert to fraction form
    958.89/1,438.32 = 342.61/x
  3. Step 3: Cross multiply
    958.89x = 1,438.32 × 342.61
  4. Step 4: Simplify right side
    958.89x = 492,782.82
  5. Step 5: Solve for x
    x = 492,782.82/958.89
  6. Step 6: Final answer
    x = 513.91

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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.