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Finding the Fourth Proportional to 699.81, 965.36 and 434.09

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Solution

The fourth proportional to 699.81, 965.36 and 434.09 is: 598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.81 : 965.36 = 434.09 : x
  2. Step 2: Convert to fraction form
    699.81/965.36 = 434.09/x
  3. Step 3: Cross multiply
    699.81x = 965.36 × 434.09
  4. Step 4: Simplify right side
    699.81x = 419,049.38
  5. Step 5: Solve for x
    x = 419,049.38/699.81
  6. Step 6: Final answer
    x = 598.80

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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.