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Finding the Fourth Proportional to 702.07, 969.24 and 422.37

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Solution

The fourth proportional to 702.07, 969.24 and 422.37 is: 583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.07 : 969.24 = 422.37 : x
  2. Step 2: Convert to fraction form
    702.07/969.24 = 422.37/x
  3. Step 3: Cross multiply
    702.07x = 969.24 × 422.37
  4. Step 4: Simplify right side
    702.07x = 409,377.90
  5. Step 5: Solve for x
    x = 409,377.90/702.07
  6. Step 6: Final answer
    x = 583.10

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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.