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Finding the Fourth Proportional to 702.21, 969.45 and 466.09

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Solution

The fourth proportional to 702.21, 969.45 and 466.09 is: 643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.21 : 969.45 = 466.09 : x
  2. Step 2: Convert to fraction form
    702.21/969.45 = 466.09/x
  3. Step 3: Cross multiply
    702.21x = 969.45 × 466.09
  4. Step 4: Simplify right side
    702.21x = 451,850.95
  5. Step 5: Solve for x
    x = 451,850.95/702.21
  6. Step 6: Final answer
    x = 643.47

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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.