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Finding the Fourth Proportional to 702.62, 969.21 and 422.66

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Solution

The fourth proportional to 702.62, 969.21 and 422.66 is: 583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.62 : 969.21 = 422.66 : x
  2. Step 2: Convert to fraction form
    702.62/969.21 = 422.66/x
  3. Step 3: Cross multiply
    702.62x = 969.21 × 422.66
  4. Step 4: Simplify right side
    702.62x = 409,646.30
  5. Step 5: Solve for x
    x = 409,646.30/702.62
  6. Step 6: Final answer
    x = 583.03

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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.