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Finding the Fourth Proportional to 702.44, 969.22 and 469.80

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Solution

The fourth proportional to 702.44, 969.22 and 469.80 is: 648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.44 : 969.22 = 469.80 : x
  2. Step 2: Convert to fraction form
    702.44/969.22 = 469.80/x
  3. Step 3: Cross multiply
    702.44x = 969.22 × 469.80
  4. Step 4: Simplify right side
    702.44x = 455,339.56
  5. Step 5: Solve for x
    x = 455,339.56/702.44
  6. Step 6: Final answer
    x = 648.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.