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Finding the Fourth Proportional to 698.23, 963.90 and 436.33

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Solution

The fourth proportional to 698.23, 963.90 and 436.33 is: 602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.23 : 963.90 = 436.33 : x
  2. Step 2: Convert to fraction form
    698.23/963.90 = 436.33/x
  3. Step 3: Cross multiply
    698.23x = 963.90 × 436.33
  4. Step 4: Simplify right side
    698.23x = 420,578.49
  5. Step 5: Solve for x
    x = 420,578.49/698.23
  6. Step 6: Final answer
    x = 602.35

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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.