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Finding the Fourth Proportional to 701.02, 967.38 and 406.38

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Solution

The fourth proportional to 701.02, 967.38 and 406.38 is: 560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.02 : 967.38 = 406.38 : x
  2. Step 2: Convert to fraction form
    701.02/967.38 = 406.38/x
  3. Step 3: Cross multiply
    701.02x = 967.38 × 406.38
  4. Step 4: Simplify right side
    701.02x = 393,123.88
  5. Step 5: Solve for x
    x = 393,123.88/701.02
  6. Step 6: Final answer
    x = 560.79

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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.