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Finding the Fourth Proportional to 702.84, 969.97 and 388.13

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Solution

The fourth proportional to 702.84, 969.97 and 388.13 is: 535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 969.97 = 388.13 : x
  2. Step 2: Convert to fraction form
    702.84/969.97 = 388.13/x
  3. Step 3: Cross multiply
    702.84x = 969.97 × 388.13
  4. Step 4: Simplify right side
    702.84x = 376,474.46
  5. Step 5: Solve for x
    x = 376,474.46/702.84
  6. Step 6: Final answer
    x = 535.65

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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.