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Finding the Fourth Proportional to 698.90, 964.32 and 436.73

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Solution

The fourth proportional to 698.90, 964.32 and 436.73 is: 602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.90 : 964.32 = 436.73 : x
  2. Step 2: Convert to fraction form
    698.90/964.32 = 436.73/x
  3. Step 3: Cross multiply
    698.90x = 964.32 × 436.73
  4. Step 4: Simplify right side
    698.90x = 421,147.47
  5. Step 5: Solve for x
    x = 421,147.47/698.90
  6. Step 6: Final answer
    x = 602.59

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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.