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Finding the Fourth Proportional to 702, 969.12 and 440.28

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Solution

The fourth proportional to 702, 969.12 and 440.28 is: 607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    702 : 969.12 = 440.28 : x
  2. Step 2: Convert to fraction form
    702/969.12 = 440.28/x
  3. Step 3: Cross multiply
    702x = 969.12 × 440.28
  4. Step 4: Simplify right side
    702x = 426,684.15
  5. Step 5: Solve for x
    x = 426,684.15/702
  6. Step 6: Final answer
    x = 607.81

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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.