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Finding the Fourth Proportional to 702.61, 969.57 and 422.96

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Solution

The fourth proportional to 702.61, 969.57 and 422.96 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.61 : 969.57 = 422.96 : x
  2. Step 2: Convert to fraction form
    702.61/969.57 = 422.96/x
  3. Step 3: Cross multiply
    702.61x = 969.57 × 422.96
  4. Step 4: Simplify right side
    702.61x = 410,084.48
  5. Step 5: Solve for x
    x = 410,084.48/702.61
  6. Step 6: Final answer
    x = 583.66

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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.