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Finding the Fourth Proportional to 958.26, 1,437.60 and 342

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Solution

The fourth proportional to 958.26, 1,437.60 and 342 is: 513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.26 : 1,437.60 = 342 : x
  2. Step 2: Convert to fraction form
    958.26/1,437.60 = 342/x
  3. Step 3: Cross multiply
    958.26x = 1,437.60 × 342
  4. Step 4: Simplify right side
    958.26x = 491,659.20
  5. Step 5: Solve for x
    x = 491,659.20/958.26
  6. Step 6: Final answer
    x = 513.07

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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.