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Finding the Fourth Proportional to 702.57, 969.56 and 387.82

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Solution

The fourth proportional to 702.57, 969.56 and 387.82 is: 535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.57 : 969.56 = 387.82 : x
  2. Step 2: Convert to fraction form
    702.57/969.56 = 387.82/x
  3. Step 3: Cross multiply
    702.57x = 969.56 × 387.82
  4. Step 4: Simplify right side
    702.57x = 376,014.76
  5. Step 5: Solve for x
    x = 376,014.76/702.57
  6. Step 6: Final answer
    x = 535.20

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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.