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Finding the Fourth Proportional to 702, 968.83 and 407.27

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Solution

The fourth proportional to 702, 968.83 and 407.27 is: 562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    702 : 968.83 = 407.27 : x
  2. Step 2: Convert to fraction form
    702/968.83 = 407.27/x
  3. Step 3: Cross multiply
    702x = 968.83 × 407.27
  4. Step 4: Simplify right side
    702x = 394,576.80
  5. Step 5: Solve for x
    x = 394,576.80/702
  6. Step 6: Final answer
    x = 562.08

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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.