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Finding the Fourth Proportional to 702.20, 969.37 and 407.41

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Solution

The fourth proportional to 702.20, 969.37 and 407.41 is: 562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.20 : 969.37 = 407.41 : x
  2. Step 2: Convert to fraction form
    702.20/969.37 = 407.41/x
  3. Step 3: Cross multiply
    702.20x = 969.37 × 407.41
  4. Step 4: Simplify right side
    702.20x = 394,933.04
  5. Step 5: Solve for x
    x = 394,933.04/702.20
  6. Step 6: Final answer
    x = 562.42

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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.