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Finding the Fourth Proportional to 701.89, 968.66 and 407.33

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Solution

The fourth proportional to 701.89, 968.66 and 407.33 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.89 : 968.66 = 407.33 : x
  2. Step 2: Convert to fraction form
    701.89/968.66 = 407.33/x
  3. Step 3: Cross multiply
    701.89x = 968.66 × 407.33
  4. Step 4: Simplify right side
    701.89x = 394,562.56
  5. Step 5: Solve for x
    x = 394,562.56/701.89
  6. Step 6: Final answer
    x = 562.14

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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.