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Finding the Fourth Proportional to 699.54, 965.38 and 419.94

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Solution

The fourth proportional to 699.54, 965.38 and 419.94 is: 579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.54 : 965.38 = 419.94 : x
  2. Step 2: Convert to fraction form
    699.54/965.38 = 419.94/x
  3. Step 3: Cross multiply
    699.54x = 965.38 × 419.94
  4. Step 4: Simplify right side
    699.54x = 405,401.68
  5. Step 5: Solve for x
    x = 405,401.68/699.54
  6. Step 6: Final answer
    x = 579.53

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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.