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Finding the Fourth Proportional to 699.84, 965.88 and 434.33

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Solution

The fourth proportional to 699.84, 965.88 and 434.33 is: 599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.84 : 965.88 = 434.33 : x
  2. Step 2: Convert to fraction form
    699.84/965.88 = 434.33/x
  3. Step 3: Cross multiply
    699.84x = 965.88 × 434.33
  4. Step 4: Simplify right side
    699.84x = 419,505.83
  5. Step 5: Solve for x
    x = 419,505.83/699.84
  6. Step 6: Final answer
    x = 599.43

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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.