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Finding the Fourth Proportional to 700.87, 967.41 and 406.27

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Solution

The fourth proportional to 700.87, 967.41 and 406.27 is: 560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.87 : 967.41 = 406.27 : x
  2. Step 2: Convert to fraction form
    700.87/967.41 = 406.27/x
  3. Step 3: Cross multiply
    700.87x = 967.41 × 406.27
  4. Step 4: Simplify right side
    700.87x = 393,029.66
  5. Step 5: Solve for x
    x = 393,029.66/700.87
  6. Step 6: Final answer
    x = 560.77

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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.