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Finding the Fourth Proportional to 701.32, 967.56 and 406.54

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Solution

The fourth proportional to 701.32, 967.56 and 406.54 is: 560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.32 : 967.56 = 406.54 : x
  2. Step 2: Convert to fraction form
    701.32/967.56 = 406.54/x
  3. Step 3: Cross multiply
    701.32x = 967.56 × 406.54
  4. Step 4: Simplify right side
    701.32x = 393,351.84
  5. Step 5: Solve for x
    x = 393,351.84/701.32
  6. Step 6: Final answer
    x = 560.87

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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.