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Finding the Fourth Proportional to 699.46, 965.30 and 419.70

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Solution

The fourth proportional to 699.46, 965.30 and 419.70 is: 579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.46 : 965.30 = 419.70 : x
  2. Step 2: Convert to fraction form
    699.46/965.30 = 419.70/x
  3. Step 3: Cross multiply
    699.46x = 965.30 × 419.70
  4. Step 4: Simplify right side
    699.46x = 405,137.93
  5. Step 5: Solve for x
    x = 405,137.93/699.46
  6. Step 6: Final answer
    x = 579.22

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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.