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Finding the Fourth Proportional to 702.98, 969.80 and 408.09

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Solution

The fourth proportional to 702.98, 969.80 and 408.09 is: 562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.98 : 969.80 = 408.09 : x
  2. Step 2: Convert to fraction form
    702.98/969.80 = 408.09/x
  3. Step 3: Cross multiply
    702.98x = 969.80 × 408.09
  4. Step 4: Simplify right side
    702.98x = 395,762.97
  5. Step 5: Solve for x
    x = 395,762.97/702.98
  6. Step 6: Final answer
    x = 562.98

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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.