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Finding the Fourth Proportional to 699.84, 965.50 and 438.03

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Solution

The fourth proportional to 699.84, 965.50 and 438.03 is: 604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.84 : 965.50 = 438.03 : x
  2. Step 2: Convert to fraction form
    699.84/965.50 = 438.03/x
  3. Step 3: Cross multiply
    699.84x = 965.50 × 438.03
  4. Step 4: Simplify right side
    699.84x = 422,917.97
  5. Step 5: Solve for x
    x = 422,917.97/699.84
  6. Step 6: Final answer
    x = 604.31

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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.