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Finding the Fourth Proportional to 699.84, 965.79 and 420.37

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Solution

The fourth proportional to 699.84, 965.79 and 420.37 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.84 : 965.79 = 420.37 : x
  2. Step 2: Convert to fraction form
    699.84/965.79 = 420.37/x
  3. Step 3: Cross multiply
    699.84x = 965.79 × 420.37
  4. Step 4: Simplify right side
    699.84x = 405,986.73
  5. Step 5: Solve for x
    x = 405,986.73/699.84
  6. Step 6: Final answer
    x = 580.11

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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.