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Finding the Fourth Proportional to 955.52, 1,432.38 and 406.96

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Solution

The fourth proportional to 955.52, 1,432.38 and 406.96 is: 610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.52 : 1,432.38 = 406.96 : x
  2. Step 2: Convert to fraction form
    955.52/1,432.38 = 406.96/x
  3. Step 3: Cross multiply
    955.52x = 1,432.38 × 406.96
  4. Step 4: Simplify right side
    955.52x = 582,921.36
  5. Step 5: Solve for x
    x = 582,921.36/955.52
  6. Step 6: Final answer
    x = 610.06

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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.