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Finding the Fourth Proportional to 701.28, 967.76 and 406.54

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Solution

The fourth proportional to 701.28, 967.76 and 406.54 is: 561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.28 : 967.76 = 406.54 : x
  2. Step 2: Convert to fraction form
    701.28/967.76 = 406.54/x
  3. Step 3: Cross multiply
    701.28x = 967.76 × 406.54
  4. Step 4: Simplify right side
    701.28x = 393,433.15
  5. Step 5: Solve for x
    x = 393,433.15/701.28
  6. Step 6: Final answer
    x = 561.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.