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Finding the Fourth Proportional to 955.92, 1,434 and 378.84

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Solution

The fourth proportional to 955.92, 1,434 and 378.84 is: 568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.92 : 1,434 = 378.84 : x
  2. Step 2: Convert to fraction form
    955.92/1,434 = 378.84/x
  3. Step 3: Cross multiply
    955.92x = 1,434 × 378.84
  4. Step 4: Simplify right side
    955.92x = 543,256.56
  5. Step 5: Solve for x
    x = 543,256.56/955.92
  6. Step 6: Final answer
    x = 568.31

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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.