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Finding the Fourth Proportional to 699.57, 965.84 and 437.94

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Solution

The fourth proportional to 699.57, 965.84 and 437.94 is: 604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.57 : 965.84 = 437.94 : x
  2. Step 2: Convert to fraction form
    699.57/965.84 = 437.94/x
  3. Step 3: Cross multiply
    699.57x = 965.84 × 437.94
  4. Step 4: Simplify right side
    699.57x = 422,977.78
  5. Step 5: Solve for x
    x = 422,977.78/699.57
  6. Step 6: Final answer
    x = 604.63

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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.