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Finding the Fourth Proportional to 702.34, 969.04 and 422.48

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Solution

The fourth proportional to 702.34, 969.04 and 422.48 is: 582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.34 : 969.04 = 422.48 : x
  2. Step 2: Convert to fraction form
    702.34/969.04 = 422.48/x
  3. Step 3: Cross multiply
    702.34x = 969.04 × 422.48
  4. Step 4: Simplify right side
    702.34x = 409,400.02
  5. Step 5: Solve for x
    x = 409,400.02/702.34
  6. Step 6: Final answer
    x = 582.91

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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.