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Finding the Fourth Proportional to 701.51, 968.11 and 406.71

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Solution

The fourth proportional to 701.51, 968.11 and 406.71 is: 561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.51 : 968.11 = 406.71 : x
  2. Step 2: Convert to fraction form
    701.51/968.11 = 406.71/x
  3. Step 3: Cross multiply
    701.51x = 968.11 × 406.71
  4. Step 4: Simplify right side
    701.51x = 393,739.00
  5. Step 5: Solve for x
    x = 393,739.00/701.51
  6. Step 6: Final answer
    x = 561.28

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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.