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Finding the Fourth Proportional to 701.22, 967.78 and 406.48

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Solution

The fourth proportional to 701.22, 967.78 and 406.48 is: 561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.22 : 967.78 = 406.48 : x
  2. Step 2: Convert to fraction form
    701.22/967.78 = 406.48/x
  3. Step 3: Cross multiply
    701.22x = 967.78 × 406.48
  4. Step 4: Simplify right side
    701.22x = 393,383.21
  5. Step 5: Solve for x
    x = 393,383.21/701.22
  6. Step 6: Final answer
    x = 561.00

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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.