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Finding the Fourth Proportional to 702.69, 969.74 and 387.98

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Solution

The fourth proportional to 702.69, 969.74 and 387.98 is: 535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.69 : 969.74 = 387.98 : x
  2. Step 2: Convert to fraction form
    702.69/969.74 = 387.98/x
  3. Step 3: Cross multiply
    702.69x = 969.74 × 387.98
  4. Step 4: Simplify right side
    702.69x = 376,239.73
  5. Step 5: Solve for x
    x = 376,239.73/702.69
  6. Step 6: Final answer
    x = 535.43

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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.