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Finding the Fourth Proportional to 698.82, 964.33 and 388.32

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Solution

The fourth proportional to 698.82, 964.33 and 388.32 is: 535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.82 : 964.33 = 388.32 : x
  2. Step 2: Convert to fraction form
    698.82/964.33 = 388.32/x
  3. Step 3: Cross multiply
    698.82x = 964.33 × 388.32
  4. Step 4: Simplify right side
    698.82x = 374,468.63
  5. Step 5: Solve for x
    x = 374,468.63/698.82
  6. Step 6: Final answer
    x = 535.86

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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.