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Finding the Fourth Proportional to 702.16, 969.01 and 422.42

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Solution

The fourth proportional to 702.16, 969.01 and 422.42 is: 582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.16 : 969.01 = 422.42 : x
  2. Step 2: Convert to fraction form
    702.16/969.01 = 422.42/x
  3. Step 3: Cross multiply
    702.16x = 969.01 × 422.42
  4. Step 4: Simplify right side
    702.16x = 409,323.30
  5. Step 5: Solve for x
    x = 409,323.30/702.16
  6. Step 6: Final answer
    x = 582.95

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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.